Greatest Common Factor of 80/48, 49/72, 62/65, 74/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/48, 49/72, 62/65, 74/313

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 80/48,49/72,62/65,74/313

Given fractions are 80/48,49/72,62/65,74/313

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 80,49,62,74

Greatest Common Factor of Numerators i.e. GCF of 80,49,62,74 is 1 .

LCM of Denominators means LCM of 48,72,65,313 as per the given fractions.

LCM of 48,72,65,313 is 2929680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,49,62,74

GCF of Fractions 80/48,49/72,62/65,74/313 is 1/2929680

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

Greatest Common Factor of 80,49,62,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,49,62,74 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 49

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

1,7,49

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 80,49,62,74 . The biggest common factor number is the GCF number.
So the greatest common factor 80,49,62,74 is 1.

Lets's calculate LCM of 48,72,65,313

2 48, 72, 65, 313
2 24, 36, 65, 313
2 12, 18, 65, 313
3 6, 9, 65, 313
2, 3, 65, 313

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 3 x 65 x 313 = 2929680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2929680

Therefore, the GCF of Fractions 80/48,49/72,62/65,74/313 is 1/2929680

Least Common Multiple of 48,72,65,313 with GCF Formula

Least Common Multiple of 48,72,65,313 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 48,72,65,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,72,65,313) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(48,72,65,313) x common factors =1 x 24 = 24

LCM(48,72,65,313) = ( 48 × 72 × 65 × 313 ) / 24

LCM(48,72,65,313) = 70312320 / 24

LCM(48,72,65,313) = 2929680


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 80/48, 49/72, 62/65, 74/313

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 80/48, 49/72, 62/65, 74/313?

Answer: GCF of Numerators as per given numbers 80/48, 49/72, 62/65, 74/313 is

GCF of Numerators i.e. for 80,49,62,74 is 1

LCM of denominators i.e. for 48,72,65,313 is 2929680.

Thus, GCF of Fractions is 1/2929680.Finally, GCF of Fractions for 80/48, 49/72, 62/65, 74/313 is 1/2929680.