How to Find GCF of 5118/475, 6641/7964?

GCF of 5118/475, 6641/7964

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 5118/475, 6641/7964 i.e 1/3782900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5118/475, 6641/7964.

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 5118/475,6641/7964?

Given fractions are 5118/475,6641/7964

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 5118/475,6641/7964, numerators are 5118,6641

Denominators are 475,7964

The GCF of 5118,6641 is 1 .

LCM of 475,7964 is 3782900.

The greatest common factor of 5118/475,6641/7964 = [GCF of 5118,6641]/[LCM of 475,7964]= 1/3782900

Therefore, the GCF of 5118/475,6641/7964 is 1/3782900.

Greatest Common Factor of 5118,6641

To find the highest common factor of 5118,6641, we have to find the factors of both numbers and list the highest common factor.

The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118

The factors of 6641 are 1, 29, 229, 6641

The HCF of 5118,6641 is 1.

Lets's calculate GCF of 5118,6641

Greatest Common Factor (GCF) of 5118,6641 By Common Division

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

Greatest Common Factor of 5118,6641 By Matching Biggest Common Factor Method

Now, list down the factors of 5118

1,2,3,6,853,1706,2559,5118

Now, list down the factors of 6641

1,29,229,6641

Greatest Common Factor

We found the factors 5118,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 5118,6641 is 1.

Lets's calculate LCM of 475,7964

Lowest Common Multiple of 475,7964 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3782900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3782900

Therefore, the GCF of Fractions 5118/475,6641/7964 is 1/3782900

Least Common Multiple of 475,7964 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 475,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,7964) = 1

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

GCF(475,7964) x common factors =1 x 1 = 1

LCM(475,7964) = ( 475 × 7964 ) / 1

LCM(475,7964) = 3782900 / 1

LCM(475,7964) = 3782900

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FAQs on GCF of Fractions of 5118/475, 6641/7964

1. What is the HCF of 5118,6641?

The HCF of 5118,6641 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 5118/475, 6641/7964?

Answer: GCF of Numerators as per given numbers 5118/475, 6641/7964 is

GCF of Numerators i.e. for 5118,6641 is 1

LCM of denominators i.e. for 475,7964 is 3782900.

Thus, GCF of Fractions is 1/3782900.Finally, GCF of Fractions for 5118/475, 6641/7964 is 1/3782900.