Greatest Common Factor of 8134/451, 9634/1374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8134/451, 9634/1374

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8134/451,9634/1374

Given fractions are 8134/451,9634/1374

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8134,9634

Greatest Common Factor of Numerators i.e. GCF of 8134,9634 is 2 .

LCM of Denominators means LCM of 451,1374 as per the given fractions.

LCM of 451,1374 is 619674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8134,9634

GCF of Fractions 8134/451,9634/1374 is 2/619674

2 8134, 9634
4067, 4817

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

Greatest Common Factor of 8134,9634 By Matching Biggest Common Factor Method

Greatest Common Factor of 8134,9634 By Matching Biggest Common Factor Method

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1,2,4817,9634

Greatest Common Factor

We found the factors 8134,9634 . The biggest common factor number is the GCF number.
So the greatest common factor 8134,9634 is 2.

Lets's calculate LCM of 451,1374

Given numbers has no common factors except 1. So, there LCM is their product i.e 619674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/619674

Therefore, the GCF of Fractions 8134/451,9634/1374 is 2/619674

Least Common Multiple of 451,1374 with GCF Formula

Least Common Multiple of 451,1374 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 451,1374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,1374) = 1

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

GCF(451,1374) x common factors =1 x 1 = 1

LCM(451,1374) = ( 451 × 1374 ) / 1

LCM(451,1374) = 619674 / 1

LCM(451,1374) = 619674


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8134/451, 9634/1374

1. 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.

2. What is the GCF of Fractions for 8134/451, 9634/1374?

Answer: GCF of Numerators as per given numbers 8134/451, 9634/1374 is

GCF of Numerators i.e. for 8134,9634 is 2

LCM of denominators i.e. for 451,1374 is 619674.

Thus, GCF of Fractions is 2/619674.Finally, GCF of Fractions for 8134/451, 9634/1374 is 2/619674.