Greatest Common Factor of 48/70, 86/49, 37/43, 21/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/70, 86/49, 37/43, 21/269

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 48/70,86/49,37/43,21/269

Given fractions are 48/70,86/49,37/43,21/269

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 48,86,37,21

Greatest Common Factor of Numerators i.e. GCF of 48,86,37,21 is 1 .

LCM of Denominators means LCM of 70,49,43,269 as per the given fractions.

LCM of 70,49,43,269 is 5667830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,86,37,21

GCF of Fractions 48/70,86/49,37/43,21/269 is 1/5667830

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

Greatest Common Factor of 48,86,37,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,86,37,21 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 48,86,37,21 . The biggest common factor number is the GCF number.
So the greatest common factor 48,86,37,21 is 1.

Lets's calculate LCM of 70,49,43,269

7 70, 49, 43, 269
10, 7, 43, 269

∴ So the LCM of the given numbers is 7 x 10 x 7 x 43 x 269 = 5667830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5667830

Therefore, the GCF of Fractions 48/70,86/49,37/43,21/269 is 1/5667830

Least Common Multiple of 70,49,43,269 with GCF Formula

Least Common Multiple of 70,49,43,269 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 70,49,43,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,49,43,269) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,49,43,269) x common factors =1 x 7 = 7

LCM(70,49,43,269) = ( 70 × 49 × 43 × 269 ) / 7

LCM(70,49,43,269) = 39674810 / 7

LCM(70,49,43,269) = 5667830


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 48/70, 86/49, 37/43, 21/269

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 48/70, 86/49, 37/43, 21/269?

Answer: GCF of Numerators as per given numbers 48/70, 86/49, 37/43, 21/269 is

GCF of Numerators i.e. for 48,86,37,21 is 1

LCM of denominators i.e. for 70,49,43,269 is 5667830.

Thus, GCF of Fractions is 1/5667830.Finally, GCF of Fractions for 48/70, 86/49, 37/43, 21/269 is 1/5667830.