How to Find GCF of 9294/974, 8131/7625?

GCF of 9294/974, 8131/7625

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 9294/974, 8131/7625 i.e 1/7426750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9294/974, 8131/7625.

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 9294/974,8131/7625?

Given fractions are 9294/974,8131/7625

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 9294/974,8131/7625, numerators are 9294,8131

Denominators are 974,7625

The GCF of 9294,8131 is 1 .

LCM of 974,7625 is 7426750.

The greatest common factor of 9294/974,8131/7625 = [GCF of 9294,8131]/[LCM of 974,7625]= 1/7426750

Therefore, the GCF of 9294/974,8131/7625 is 1/7426750.

Greatest Common Factor of 9294,8131

To find the highest common factor of 9294,8131, we have to find the factors of both numbers and list the highest common factor.

The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294

The factors of 8131 are 1, 47, 173, 8131

The HCF of 9294,8131 is 1.

Lets's calculate GCF of 9294,8131

Greatest Common Factor (GCF) of 9294,8131 By Common Division

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

Greatest Common Factor of 9294,8131 By Matching Biggest Common Factor Method

Now, list down the factors of 9294

1,2,3,6,1549,3098,4647,9294

Now, list down the factors of 8131

1,47,173,8131

Greatest Common Factor

We found the factors 9294,8131 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,8131 is 1.

Lets's calculate LCM of 974,7625

Lowest Common Multiple of 974,7625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7426750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7426750

Therefore, the GCF of Fractions 9294/974,8131/7625 is 1/7426750

Least Common Multiple of 974,7625 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 974,7625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,7625) = 1

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

GCF(974,7625) x common factors =1 x 1 = 1

LCM(974,7625) = ( 974 × 7625 ) / 1

LCM(974,7625) = 7426750 / 1

LCM(974,7625) = 7426750

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9294/974, 8131/7625

1. What is the HCF of 9294,8131?

The HCF of 9294,8131 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 9294/974, 8131/7625?

Answer: GCF of Numerators as per given numbers 9294/974, 8131/7625 is

GCF of Numerators i.e. for 9294,8131 is 1

LCM of denominators i.e. for 974,7625 is 7426750.

Thus, GCF of Fractions is 1/7426750.Finally, GCF of Fractions for 9294/974, 8131/7625 is 1/7426750.