Greatest Common Factor of 50/26, 70/12, 49/22, 51/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/26, 70/12, 49/22, 51/353

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 50/26,70/12,49/22,51/353

Given fractions are 50/26,70/12,49/22,51/353

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 50,70,49,51

Greatest Common Factor of Numerators i.e. GCF of 50,70,49,51 is 1 .

LCM of Denominators means LCM of 26,12,22,353 as per the given fractions.

LCM of 26,12,22,353 is 605748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,70,49,51

GCF of Fractions 50/26,70/12,49/22,51/353 is 1/605748

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

Greatest Common Factor of 50,70,49,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,70,49,51 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 50,70,49,51 . The biggest common factor number is the GCF number.
So the greatest common factor 50,70,49,51 is 1.

Lets's calculate LCM of 26,12,22,353

2 26, 12, 22, 353
13, 6, 11, 353

∴ So the LCM of the given numbers is 2 x 13 x 6 x 11 x 353 = 605748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605748

Therefore, the GCF of Fractions 50/26,70/12,49/22,51/353 is 1/605748

Least Common Multiple of 26,12,22,353 with GCF Formula

Least Common Multiple of 26,12,22,353 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 26,12,22,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,12,22,353) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(26,12,22,353) x common factors =1 x 4 = 4

LCM(26,12,22,353) = ( 26 × 12 × 22 × 353 ) / 4

LCM(26,12,22,353) = 2422992 / 4

LCM(26,12,22,353) = 605748


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 50/26, 70/12, 49/22, 51/353

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 50/26, 70/12, 49/22, 51/353?

Answer: GCF of Numerators as per given numbers 50/26, 70/12, 49/22, 51/353 is

GCF of Numerators i.e. for 50,70,49,51 is 1

LCM of denominators i.e. for 26,12,22,353 is 605748.

Thus, GCF of Fractions is 1/605748.Finally, GCF of Fractions for 50/26, 70/12, 49/22, 51/353 is 1/605748.