LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 624/745, 2984/2655

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 624/745, 2984/2655 i.e 8/395595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/745, 2984/2655.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 624/745,2984/2655?

Given fractions are 624/745,2984/2655

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 624/745,2984/2655, numerators are 624,2984

Denominators are 745,2655

The GCF of 624,2984 is 8 .

LCM of 745,2655 is 395595.

The greatest common factor of 624/745,2984/2655 = [GCF of 624,2984]/[LCM of 745,2655]= 8/395595

Therefore, the GCF of 624/745,2984/2655 is 8/395595.

Greatest Common Factor of 624,2984

To find the highest common factor of 624,2984, we have to find the factors of both numbers and list the highest common factor.

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984

The HCF of 624,2984 is 8.

Lets's calculate GCF of 624,2984

Greatest Common Factor (GCF) of 624,2984 By Common Division

2 624, 2984
2 312, 1492
2 156, 746
78, 373

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 624,2984 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,2984 By Matching Biggest Common Factor Method

Now, list down the factors of 624

:

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Now, list down the factors of 2984

:

1,2,4,8,373,746,1492,2984

Greatest Common Factor

We found the factors 624,2984 . The biggest common factor number is the GCF number.
So the greatest common factor 624,2984 is 8.


Lets's calculate LCM of 745,2655

Lowest Common Multiple of 745,2655 using Common Division

5 745, 2655
149, 531

∴ So the LCM of the given numbers is 5 x 149 x 531 = 395595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/395595

Therefore, the GCF of Fractions 624/745,2984/2655 is 8/395595

Least Common Multiple of 745,2655 with GCF Formula

Least Common Multiple of 745,2655 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 745,2655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,2655) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(745,2655) x common factors =5 x 1 = 5

LCM(745,2655) = ( 745 × 2655 ) / 5

LCM(745,2655) = 1977975 / 5

LCM(745,2655) = 395595


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 624/745, 2984/2655

1. What is the HCF of 624,2984?

The HCF of 624,2984 is 8

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 624/745, 2984/2655?

Answer: GCF of Numerators as per given numbers 624/745, 2984/2655 is

GCF of Numerators i.e. for 624,2984 is 8

LCM of denominators i.e. for 745,2655 is 395595.

Thus, GCF of Fractions is 8/395595.Finally, GCF of Fractions for 624/745, 2984/2655 is 8/395595.