How to Find GCF of 8315/531, 6108/7366?

GCF of 8315/531, 6108/7366

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 8315/531, 6108/7366 i.e 1/3911346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8315/531, 6108/7366.

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 8315/531,6108/7366?

Given fractions are 8315/531,6108/7366

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 8315/531,6108/7366, numerators are 8315,6108

Denominators are 531,7366

The GCF of 8315,6108 is 1 .

LCM of 531,7366 is 3911346.

The greatest common factor of 8315/531,6108/7366 = [GCF of 8315,6108]/[LCM of 531,7366]= 1/3911346

Therefore, the GCF of 8315/531,6108/7366 is 1/3911346.

Greatest Common Factor of 8315,6108

To find the highest common factor of 8315,6108, we have to find the factors of both numbers and list the highest common factor.

The factors of 8315 are 1, 5, 1663, 8315

The factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108

The HCF of 8315,6108 is 1.

Lets's calculate GCF of 8315,6108

Greatest Common Factor (GCF) of 8315,6108 By Common Division

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

Greatest Common Factor of 8315,6108 By Matching Biggest Common Factor Method

Now, list down the factors of 8315

1,5,1663,8315

Now, list down the factors of 6108

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Greatest Common Factor

We found the factors 8315,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 8315,6108 is 1.

Lets's calculate LCM of 531,7366

Lowest Common Multiple of 531,7366 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3911346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3911346

Therefore, the GCF of Fractions 8315/531,6108/7366 is 1/3911346

Least Common Multiple of 531,7366 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 531,7366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,7366) = 1

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

GCF(531,7366) x common factors =1 x 1 = 1

LCM(531,7366) = ( 531 × 7366 ) / 1

LCM(531,7366) = 3911346 / 1

LCM(531,7366) = 3911346

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FAQs on GCF of Fractions of 8315/531, 6108/7366

1. What is the HCF of 8315,6108?

The HCF of 8315,6108 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 8315/531, 6108/7366?

Answer: GCF of Numerators as per given numbers 8315/531, 6108/7366 is

GCF of Numerators i.e. for 8315,6108 is 1

LCM of denominators i.e. for 531,7366 is 3911346.

Thus, GCF of Fractions is 1/3911346.Finally, GCF of Fractions for 8315/531, 6108/7366 is 1/3911346.