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GCF of 746/175, 2984/727

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 746/175, 2984/727 i.e 746/127225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/175, 2984/727.

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 746/175,2984/727?

Given fractions are 746/175,2984/727

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 746/175,2984/727, numerators are 746,2984

Denominators are 175,727

The GCF of 746,2984 is 746 .

LCM of 175,727 is 127225.

The greatest common factor of 746/175,2984/727 = [GCF of 746,2984]/[LCM of 175,727]= 746/127225

Therefore, the GCF of 746/175,2984/727 is 746/127225.

Greatest Common Factor of 746,2984

To find the highest common factor of 746,2984, we have to find the factors of both numbers and list the highest common factor.

The factors of 746 are 1, 2, 373, 746

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

The HCF of 746,2984 is 746.

Lets's calculate GCF of 746,2984

Greatest Common Factor (GCF) of 746,2984 By Common Division

2 746, 2984
373 373, 1492
1, 4

∴ So the GCF of the given numbers is 2 x 373 = 746

Greatest Common Factor of 746,2984 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,2984 By Matching Biggest Common Factor Method

Now, list down the factors of 746

:

1,2,373,746

Now, list down the factors of 2984

:

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

Greatest Common Factor

We found the factors 746,2984 . The biggest common factor number is the GCF number.
So the greatest common factor 746,2984 is 746.


Lets's calculate LCM of 175,727

Lowest Common Multiple of 175,727 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 746/127225

Therefore, the GCF of Fractions 746/175,2984/727 is 746/127225

Least Common Multiple of 175,727 with GCF Formula

Least Common Multiple of 175,727 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 175,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,727) = 1

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

GCF(175,727) x common factors =1 x 1 = 1

LCM(175,727) = ( 175 × 727 ) / 1

LCM(175,727) = 127225 / 1

LCM(175,727) = 127225


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 746/175, 2984/727

1. What is the HCF of 746,2984?

The HCF of 746,2984 is 746

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 746/175, 2984/727?

Answer: GCF of Numerators as per given numbers 746/175, 2984/727 is

GCF of Numerators i.e. for 746,2984 is 746

LCM of denominators i.e. for 175,727 is 127225.

Thus, GCF of Fractions is 746/127225.Finally, GCF of Fractions for 746/175, 2984/727 is 746/127225.