How to Find GCF of 6425/477, 5147/3134?

GCF of 6425/477, 5147/3134

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 6425/477, 5147/3134 i.e 1/1494918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6425/477, 5147/3134.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6425/477,5147/3134?

Given fractions are 6425/477,5147/3134

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 6425/477,5147/3134, numerators are 6425,5147

Denominators are 477,3134

The GCF of 6425,5147 is 1 .

LCM of 477,3134 is 1494918.

The greatest common factor of 6425/477,5147/3134 = [GCF of 6425,5147]/[LCM of 477,3134]= 1/1494918

Therefore, the GCF of 6425/477,5147/3134 is 1/1494918.

Greatest Common Factor of 6425,5147

To find the highest common factor of 6425,5147, we have to find the factors of both numbers and list the highest common factor.

The factors of 6425 are 1, 5, 25, 257, 1285, 6425

The factors of 5147 are 1, 5147

The HCF of 6425,5147 is 1.

Lets's calculate GCF of 6425,5147

Greatest Common Factor (GCF) of 6425,5147 By Common Division

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

Greatest Common Factor of 6425,5147 By Matching Biggest Common Factor Method

Now, list down the factors of 6425

1,5,25,257,1285,6425

Now, list down the factors of 5147

1,5147

Greatest Common Factor

We found the factors 6425,5147 . The biggest common factor number is the GCF number.
So the greatest common factor 6425,5147 is 1.

Lets's calculate LCM of 477,3134

Lowest Common Multiple of 477,3134 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1494918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494918

Therefore, the GCF of Fractions 6425/477,5147/3134 is 1/1494918

Least Common Multiple of 477,3134 with GCF Formula

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

We need to calculate greatest common factor of 477,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,3134) = 1

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

GCF(477,3134) x common factors =1 x 1 = 1

LCM(477,3134) = ( 477 × 3134 ) / 1

LCM(477,3134) = 1494918 / 1

LCM(477,3134) = 1494918

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FAQs on GCF of Fractions of 6425/477, 5147/3134

1. What is the HCF of 6425,5147?

The HCF of 6425,5147 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 6425/477, 5147/3134?

Answer: GCF of Numerators as per given numbers 6425/477, 5147/3134 is

GCF of Numerators i.e. for 6425,5147 is 1

LCM of denominators i.e. for 477,3134 is 1494918.

Thus, GCF of Fractions is 1/1494918.Finally, GCF of Fractions for 6425/477, 5147/3134 is 1/1494918.