Greatest Common Factor of 763/35, 120/51, 278/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/35, 120/51, 278/242

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 763/35,120/51,278/242

Given fractions are 763/35,120/51,278/242

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 763,120,278

Greatest Common Factor of Numerators i.e. GCF of 763,120,278 is 1 .

LCM of Denominators means LCM of 35,51,242 as per the given fractions.

LCM of 35,51,242 is 431970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,120,278

GCF of Fractions 763/35,120/51,278/242 is 1/431970

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

Greatest Common Factor of 763,120,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,120,278 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 763,120,278 . The biggest common factor number is the GCF number.
So the greatest common factor 763,120,278 is 1.

Lets's calculate LCM of 35,51,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 431970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431970

Therefore, the GCF of Fractions 763/35,120/51,278/242 is 1/431970

Least Common Multiple of 35,51,242 with GCF Formula

Least Common Multiple of 35,51,242 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 35,51,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,51,242) = 1

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

GCF(35,51,242) x common factors =1 x 1 = 1

LCM(35,51,242) = ( 35 × 51 × 242 ) / 1

LCM(35,51,242) = 431970 / 1

LCM(35,51,242) = 431970


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 763/35, 120/51, 278/242

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 763/35, 120/51, 278/242?

Answer: GCF of Numerators as per given numbers 763/35, 120/51, 278/242 is

GCF of Numerators i.e. for 763,120,278 is 1

LCM of denominators i.e. for 35,51,242 is 431970.

Thus, GCF of Fractions is 1/431970.Finally, GCF of Fractions for 763/35, 120/51, 278/242 is 1/431970.