How to Find GCF of 8047/695, 3107/3156?

GCF of 8047/695, 3107/3156

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 8047/695, 3107/3156 i.e 13/2193420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8047/695, 3107/3156.

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 8047/695,3107/3156?

Given fractions are 8047/695,3107/3156

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 8047/695,3107/3156, numerators are 8047,3107

Denominators are 695,3156

The GCF of 8047,3107 is 13 .

LCM of 695,3156 is 2193420.

The greatest common factor of 8047/695,3107/3156 = [GCF of 8047,3107]/[LCM of 695,3156]= 13/2193420

Therefore, the GCF of 8047/695,3107/3156 is 13/2193420.

Greatest Common Factor of 8047,3107

To find the highest common factor of 8047,3107, we have to find the factors of both numbers and list the highest common factor.

The factors of 8047 are 1, 13, 619, 8047

The factors of 3107 are 1, 13, 239, 3107

The HCF of 8047,3107 is 13.

Lets's calculate GCF of 8047,3107

Greatest Common Factor (GCF) of 8047,3107 By Common Division

13	8047, 3107
	619, 239

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8047,3107 By Matching Biggest Common Factor Method

Now, list down the factors of 8047

1,13,619,8047

Now, list down the factors of 3107

1,13,239,3107

Greatest Common Factor

We found the factors 8047,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 8047,3107 is 13.

Lets's calculate LCM of 695,3156

Lowest Common Multiple of 695,3156 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2193420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2193420

Therefore, the GCF of Fractions 8047/695,3107/3156 is 13/2193420

Least Common Multiple of 695,3156 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 695,3156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,3156) = 1

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

GCF(695,3156) x common factors =1 x 1 = 1

LCM(695,3156) = ( 695 × 3156 ) / 1

LCM(695,3156) = 2193420 / 1

LCM(695,3156) = 2193420

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FAQs on GCF of Fractions of 8047/695, 3107/3156

1. What is the HCF of 8047,3107?

The HCF of 8047,3107 is 13

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 8047/695, 3107/3156?

Answer: GCF of Numerators as per given numbers 8047/695, 3107/3156 is

GCF of Numerators i.e. for 8047,3107 is 13

LCM of denominators i.e. for 695,3156 is 2193420.

Thus, GCF of Fractions is 13/2193420.Finally, GCF of Fractions for 8047/695, 3107/3156 is 13/2193420.