Greatest Common Factor of 7762/42, 9150/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7762/42, 9150/278

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 7762/42,9150/278

Given fractions are 7762/42,9150/278

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 7762,9150

Greatest Common Factor of Numerators i.e. GCF of 7762,9150 is 2 .

LCM of Denominators means LCM of 42,278 as per the given fractions.

LCM of 42,278 is 5838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7762,9150

GCF of Fractions 7762/42,9150/278 is 2/5838

2 7762, 9150
3881, 4575

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

Greatest Common Factor of 7762,9150 By Matching Biggest Common Factor Method

Greatest Common Factor of 7762,9150 By Matching Biggest Common Factor Method

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 7762,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 7762,9150 is 2.

Lets's calculate LCM of 42,278

2 42, 278
21, 139

∴ So the LCM of the given numbers is 2 x 21 x 139 = 5838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5838

Therefore, the GCF of Fractions 7762/42,9150/278 is 2/5838

Least Common Multiple of 42,278 with GCF Formula

Least Common Multiple of 42,278 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 42,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,278) = 2

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

GCF(42,278) x common factors =2 x 1 = 2

LCM(42,278) = ( 42 × 278 ) / 2

LCM(42,278) = 11676 / 2

LCM(42,278) = 5838


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 7762/42, 9150/278

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 7762/42, 9150/278?

Answer: GCF of Numerators as per given numbers 7762/42, 9150/278 is

GCF of Numerators i.e. for 7762,9150 is 2

LCM of denominators i.e. for 42,278 is 5838.

Thus, GCF of Fractions is 2/5838.Finally, GCF of Fractions for 7762/42, 9150/278 is 2/5838.