How to Find GCF of 7814/779, 4877/8107?

GCF of 7814/779, 4877/8107

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 7814/779, 4877/8107 i.e 1/6315353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7814/779, 4877/8107.

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 7814/779,4877/8107?

Given fractions are 7814/779,4877/8107

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 7814/779,4877/8107, numerators are 7814,4877

Denominators are 779,8107

The GCF of 7814,4877 is 1 .

LCM of 779,8107 is 6315353.

The greatest common factor of 7814/779,4877/8107 = [GCF of 7814,4877]/[LCM of 779,8107]= 1/6315353

Therefore, the GCF of 7814/779,4877/8107 is 1/6315353.

Greatest Common Factor of 7814,4877

To find the highest common factor of 7814,4877, we have to find the factors of both numbers and list the highest common factor.

The factors of 7814 are 1, 2, 3907, 7814

The factors of 4877 are 1, 4877

The HCF of 7814,4877 is 1.

Lets's calculate GCF of 7814,4877

Greatest Common Factor (GCF) of 7814,4877 By Common Division

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

Greatest Common Factor of 7814,4877 By Matching Biggest Common Factor Method

Now, list down the factors of 7814

1,2,3907,7814

Now, list down the factors of 4877

1,4877

Greatest Common Factor

We found the factors 7814,4877 . The biggest common factor number is the GCF number.
So the greatest common factor 7814,4877 is 1.

Lets's calculate LCM of 779,8107

Lowest Common Multiple of 779,8107 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6315353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6315353

Therefore, the GCF of Fractions 7814/779,4877/8107 is 1/6315353

Least Common Multiple of 779,8107 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 779,8107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,8107) = 1

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

GCF(779,8107) x common factors =1 x 1 = 1

LCM(779,8107) = ( 779 × 8107 ) / 1

LCM(779,8107) = 6315353 / 1

LCM(779,8107) = 6315353

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FAQs on GCF of Fractions of 7814/779, 4877/8107

1. What is the HCF of 7814,4877?

The HCF of 7814,4877 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 7814/779, 4877/8107?

Answer: GCF of Numerators as per given numbers 7814/779, 4877/8107 is

GCF of Numerators i.e. for 7814,4877 is 1

LCM of denominators i.e. for 779,8107 is 6315353.

Thus, GCF of Fractions is 1/6315353.Finally, GCF of Fractions for 7814/779, 4877/8107 is 1/6315353.