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GCF of 478/31, 629/977

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 478/31, 629/977 i.e 1/30287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/31, 629/977.

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 478/31,629/977?

Given fractions are 478/31,629/977

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 478/31,629/977, numerators are 478,629

Denominators are 31,977

The GCF of 478,629 is 1 .

LCM of 31,977 is 30287.

The greatest common factor of 478/31,629/977 = [GCF of 478,629]/[LCM of 31,977]= 1/30287

Therefore, the GCF of 478/31,629/977 is 1/30287.

Greatest Common Factor of 478,629

To find the highest common factor of 478,629, we have to find the factors of both numbers and list the highest common factor.

The factors of 478 are 1, 2, 239, 478

The factors of 629 are 1, 17, 37, 629

The HCF of 478,629 is 1.

Lets's calculate GCF of 478,629

Greatest Common Factor (GCF) of 478,629 By Common Division

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

Greatest Common Factor of 478,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,629 By Matching Biggest Common Factor Method

Now, list down the factors of 478

:

1,2,239,478

Now, list down the factors of 629

:

1,17,37,629

Greatest Common Factor

We found the factors 478,629 . The biggest common factor number is the GCF number.
So the greatest common factor 478,629 is 1.

Lets's calculate LCM of 31,977

Lowest Common Multiple of 31,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30287

Therefore, the GCF of Fractions 478/31,629/977 is 1/30287

Least Common Multiple of 31,977 with GCF Formula

Least Common Multiple of 31,977 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 31,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,977) = 1

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

GCF(31,977) x common factors =1 x 1 = 1

LCM(31,977) = ( 31 × 977 ) / 1

LCM(31,977) = 30287 / 1

LCM(31,977) = 30287


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FAQs on GCF of Fractions of 478/31, 629/977

1. What is the HCF of 478,629?

The HCF of 478,629 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 478/31, 629/977?

Answer: GCF of Numerators as per given numbers 478/31, 629/977 is

GCF of Numerators i.e. for 478,629 is 1

LCM of denominators i.e. for 31,977 is 30287.

Thus, GCF of Fractions is 1/30287.Finally, GCF of Fractions for 478/31, 629/977 is 1/30287.