How to Find GCF of 7924/101, 5114/6887?

GCF of 7924/101, 5114/6887

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 7924/101, 5114/6887 i.e 2/695587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/101, 5114/6887.

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 7924/101,5114/6887?

Given fractions are 7924/101,5114/6887

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 7924/101,5114/6887, numerators are 7924,5114

Denominators are 101,6887

The GCF of 7924,5114 is 2 .

LCM of 101,6887 is 695587.

The greatest common factor of 7924/101,5114/6887 = [GCF of 7924,5114]/[LCM of 101,6887]= 2/695587

Therefore, the GCF of 7924/101,5114/6887 is 2/695587.

Greatest Common Factor of 7924,5114

To find the highest common factor of 7924,5114, we have to find the factors of both numbers and list the highest common factor.

The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924

The factors of 5114 are 1, 2, 2557, 5114

The HCF of 7924,5114 is 2.

Lets's calculate GCF of 7924,5114

Greatest Common Factor (GCF) of 7924,5114 By Common Division

2	7924, 5114
	3962, 2557

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7924,5114 By Matching Biggest Common Factor Method

Now, list down the factors of 7924

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Now, list down the factors of 5114

1,2,2557,5114

Greatest Common Factor

We found the factors 7924,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,5114 is 2.

Lets's calculate LCM of 101,6887

Lowest Common Multiple of 101,6887 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 695587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/695587

Therefore, the GCF of Fractions 7924/101,5114/6887 is 2/695587

Least Common Multiple of 101,6887 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 101,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,6887) = 1

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

GCF(101,6887) x common factors =1 x 1 = 1

LCM(101,6887) = ( 101 × 6887 ) / 1

LCM(101,6887) = 695587 / 1

LCM(101,6887) = 695587

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FAQs on GCF of Fractions of 7924/101, 5114/6887

1. What is the HCF of 7924,5114?

The HCF of 7924,5114 is 2

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 7924/101, 5114/6887?

Answer: GCF of Numerators as per given numbers 7924/101, 5114/6887 is

GCF of Numerators i.e. for 7924,5114 is 2

LCM of denominators i.e. for 101,6887 is 695587.

Thus, GCF of Fractions is 2/695587.Finally, GCF of Fractions for 7924/101, 5114/6887 is 2/695587.