Greatest Common Factor of 9142/44, 7754/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9142/44, 7754/829

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 9142/44,7754/829

Given fractions are 9142/44,7754/829

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 9142,7754

Greatest Common Factor of Numerators i.e. GCF of 9142,7754 is 2 .

LCM of Denominators means LCM of 44,829 as per the given fractions.

LCM of 44,829 is 36476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9142,7754

GCF of Fractions 9142/44,7754/829 is 2/36476

2 9142, 7754
4571, 3877

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

Greatest Common Factor of 9142,7754 By Matching Biggest Common Factor Method

Greatest Common Factor of 9142,7754 By Matching Biggest Common Factor Method

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Factors of 7754

List of positive integer factors of 7754 that divides 7754 without a remainder.

1,2,3877,7754

Greatest Common Factor

We found the factors 9142,7754 . The biggest common factor number is the GCF number.
So the greatest common factor 9142,7754 is 2.

Lets's calculate LCM of 44,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 36476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36476

Therefore, the GCF of Fractions 9142/44,7754/829 is 2/36476

Least Common Multiple of 44,829 with GCF Formula

Least Common Multiple of 44,829 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 44,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,829) = 1

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

GCF(44,829) x common factors =1 x 1 = 1

LCM(44,829) = ( 44 × 829 ) / 1

LCM(44,829) = 36476 / 1

LCM(44,829) = 36476


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 9142/44, 7754/829

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 9142/44, 7754/829?

Answer: GCF of Numerators as per given numbers 9142/44, 7754/829 is

GCF of Numerators i.e. for 9142,7754 is 2

LCM of denominators i.e. for 44,829 is 36476.

Thus, GCF of Fractions is 2/36476.Finally, GCF of Fractions for 9142/44, 7754/829 is 2/36476.