How to Find GCF of 8879/666, 2738/7057?

GCF of 8879/666, 2738/7057

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 8879/666, 2738/7057 i.e 1/4699962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8879/666, 2738/7057.

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 8879/666,2738/7057?

Given fractions are 8879/666,2738/7057

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 8879/666,2738/7057, numerators are 8879,2738

Denominators are 666,7057

The GCF of 8879,2738 is 1 .

LCM of 666,7057 is 4699962.

The greatest common factor of 8879/666,2738/7057 = [GCF of 8879,2738]/[LCM of 666,7057]= 1/4699962

Therefore, the GCF of 8879/666,2738/7057 is 1/4699962.

Greatest Common Factor of 8879,2738

To find the highest common factor of 8879,2738, we have to find the factors of both numbers and list the highest common factor.

The factors of 8879 are 1, 13, 683, 8879

The factors of 2738 are 1, 2, 37, 74, 1369, 2738

The HCF of 8879,2738 is 1.

Lets's calculate GCF of 8879,2738

Greatest Common Factor (GCF) of 8879,2738 By Common Division

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

Greatest Common Factor of 8879,2738 By Matching Biggest Common Factor Method

Now, list down the factors of 8879

1,13,683,8879

Now, list down the factors of 2738

1,2,37,74,1369,2738

Greatest Common Factor

We found the factors 8879,2738 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,2738 is 1.

Lets's calculate LCM of 666,7057

Lowest Common Multiple of 666,7057 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4699962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4699962

Therefore, the GCF of Fractions 8879/666,2738/7057 is 1/4699962

Least Common Multiple of 666,7057 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 666,7057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,7057) = 1

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

GCF(666,7057) x common factors =1 x 1 = 1

LCM(666,7057) = ( 666 × 7057 ) / 1

LCM(666,7057) = 4699962 / 1

LCM(666,7057) = 4699962

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FAQs on GCF of Fractions of 8879/666, 2738/7057

1. What is the HCF of 8879,2738?

The HCF of 8879,2738 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 8879/666, 2738/7057?

Answer: GCF of Numerators as per given numbers 8879/666, 2738/7057 is

GCF of Numerators i.e. for 8879,2738 is 1

LCM of denominators i.e. for 666,7057 is 4699962.

Thus, GCF of Fractions is 1/4699962.Finally, GCF of Fractions for 8879/666, 2738/7057 is 1/4699962.