Greatest Common Factor of 4/48, 40/32, 98/346, 780/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/48, 40/32, 98/346, 780/703

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 4/48,40/32,98/346,780/703

Given fractions are 4/48,40/32,98/346,780/703

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 4,40,98,780

Greatest Common Factor of Numerators i.e. GCF of 4,40,98,780 is 2 .

LCM of Denominators means LCM of 48,32,346,703 as per the given fractions.

LCM of 48,32,346,703 is 11675424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,40,98,780

GCF of Fractions 4/48,40/32,98/346,780/703 is 2/11675424

2 4, 40, 98, 780
2, 20, 49, 390

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

Greatest Common Factor of 4,40,98,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,40,98,780 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 4,40,98,780 . The biggest common factor number is the GCF number.
So the greatest common factor 4,40,98,780 is 2.

Lets's calculate LCM of 48,32,346,703

2 48, 32, 346, 703
2 24, 16, 173, 703
2 12, 8, 173, 703
2 6, 4, 173, 703
3, 2, 173, 703

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 173 x 703 = 11675424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11675424

Therefore, the GCF of Fractions 4/48,40/32,98/346,780/703 is 2/11675424

Least Common Multiple of 48,32,346,703 with GCF Formula

Least Common Multiple of 48,32,346,703 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 48,32,346,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,32,346,703) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(48,32,346,703) x common factors =1 x 32 = 32

LCM(48,32,346,703) = ( 48 × 32 × 346 × 703 ) / 32

LCM(48,32,346,703) = 373613568 / 32

LCM(48,32,346,703) = 11675424


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 4/48, 40/32, 98/346, 780/703

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 4/48, 40/32, 98/346, 780/703?

Answer: GCF of Numerators as per given numbers 4/48, 40/32, 98/346, 780/703 is

GCF of Numerators i.e. for 4,40,98,780 is 2

LCM of denominators i.e. for 48,32,346,703 is 11675424.

Thus, GCF of Fractions is 2/11675424.Finally, GCF of Fractions for 4/48, 40/32, 98/346, 780/703 is 2/11675424.