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GCF of 1942/477, 6731/134

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 1942/477, 6731/134 i.e 1/63918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1942/477, 6731/134.

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 1942/477,6731/134?

Given fractions are 1942/477,6731/134

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 1942/477,6731/134, numerators are 1942,6731

Denominators are 477,134

The GCF of 1942,6731 is 1 .

LCM of 477,134 is 63918.

The greatest common factor of 1942/477,6731/134 = [GCF of 1942,6731]/[LCM of 477,134]= 1/63918

Therefore, the GCF of 1942/477,6731/134 is 1/63918.

Greatest Common Factor of 1942,6731

To find the highest common factor of 1942,6731, we have to find the factors of both numbers and list the highest common factor.

The factors of 1942 are 1, 2, 971, 1942

The factors of 6731 are 1, 53, 127, 6731

The HCF of 1942,6731 is 1.

Lets's calculate GCF of 1942,6731

Greatest Common Factor (GCF) of 1942,6731 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1942,6731 By Matching Biggest Common Factor Method

Greatest Common Factor of 1942,6731 By Matching Biggest Common Factor Method

Now, list down the factors of 1942

:

1,2,971,1942

Now, list down the factors of 6731

:

1,53,127,6731

Greatest Common Factor

We found the factors 1942,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 1942,6731 is 1.

Lets's calculate LCM of 477,134

Lowest Common Multiple of 477,134 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63918

Therefore, the GCF of Fractions 1942/477,6731/134 is 1/63918

Least Common Multiple of 477,134 with GCF Formula

Least Common Multiple of 477,134 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 477,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,134) = 1

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

GCF(477,134) x common factors =1 x 1 = 1

LCM(477,134) = ( 477 × 134 ) / 1

LCM(477,134) = 63918 / 1

LCM(477,134) = 63918


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FAQs on GCF of Fractions of 1942/477, 6731/134

1. What is the HCF of 1942,6731?

The HCF of 1942,6731 is 1

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 1942/477, 6731/134?

Answer: GCF of Numerators as per given numbers 1942/477, 6731/134 is

GCF of Numerators i.e. for 1942,6731 is 1

LCM of denominators i.e. for 477,134 is 63918.

Thus, GCF of Fractions is 1/63918.Finally, GCF of Fractions for 1942/477, 6731/134 is 1/63918.