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 192/300, 628/839

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 192/300, 628/839 i.e 4/251700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/300, 628/839.

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 192/300,628/839?

Given fractions are 192/300,628/839

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 192/300,628/839, numerators are 192,628

Denominators are 300,839

The GCF of 192,628 is 4 .

LCM of 300,839 is 251700.

The greatest common factor of 192/300,628/839 = [GCF of 192,628]/[LCM of 300,839]= 4/251700

Therefore, the GCF of 192/300,628/839 is 4/251700.

Greatest Common Factor of 192,628

To find the highest common factor of 192,628, we have to find the factors of both numbers and list the highest common factor.

The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The factors of 628 are 1, 2, 4, 157, 314, 628

The HCF of 192,628 is 4.

Lets's calculate GCF of 192,628

Greatest Common Factor (GCF) of 192,628 By Common Division

2 192, 628
2 96, 314
48, 157

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 192,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,628 By Matching Biggest Common Factor Method

Now, list down the factors of 192

:

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Now, list down the factors of 628

:

1,2,4,157,314,628

Greatest Common Factor

We found the factors 192,628 . The biggest common factor number is the GCF number.
So the greatest common factor 192,628 is 4.

Lets's calculate LCM of 300,839

Lowest Common Multiple of 300,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 251700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/251700

Therefore, the GCF of Fractions 192/300,628/839 is 4/251700

Least Common Multiple of 300,839 with GCF Formula

Least Common Multiple of 300,839 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 300,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,839) = 1

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

GCF(300,839) x common factors =1 x 1 = 1

LCM(300,839) = ( 300 × 839 ) / 1

LCM(300,839) = 251700 / 1

LCM(300,839) = 251700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 192/300, 628/839

1. What is the HCF of 192,628?

The HCF of 192,628 is 4

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 192/300, 628/839?

Answer: GCF of Numerators as per given numbers 192/300, 628/839 is

GCF of Numerators i.e. for 192,628 is 4

LCM of denominators i.e. for 300,839 is 251700.

Thus, GCF of Fractions is 4/251700.Finally, GCF of Fractions for 192/300, 628/839 is 4/251700.