Greatest Common Factor of 948/490, 948/220, 558/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 948/490, 948/220, 558/896

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 948/490,948/220,558/896

Given fractions are 948/490,948/220,558/896

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 948,948,558

Greatest Common Factor of Numerators i.e. GCF of 948,948,558 is 6 .

LCM of Denominators means LCM of 490,220,896 as per the given fractions.

LCM of 490,220,896 is 344960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 948,948,558

GCF of Fractions 948/490,948/220,558/896 is 6/344960

2 948, 948, 558
3 474, 474, 279
158, 158, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 948,948,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,948,558 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 948,948,558 . The biggest common factor number is the GCF number.
So the greatest common factor 948,948,558 is 6.

Lets's calculate LCM of 490,220,896

2 490, 220, 896
2 245, 110, 448
5 245, 55, 224
7 49, 11, 224
7, 11, 32

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 7 x 11 x 32 = 344960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/344960

Therefore, the GCF of Fractions 948/490,948/220,558/896 is 6/344960

Least Common Multiple of 490,220,896 with GCF Formula

Least Common Multiple of 490,220,896 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 490,220,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,220,896) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(490,220,896) x common factors =2 x 140 = 280

LCM(490,220,896) = ( 490 × 220 × 896 ) / 280

LCM(490,220,896) = 96588800 / 280

LCM(490,220,896) = 344960


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 948/490, 948/220, 558/896

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 948/490, 948/220, 558/896?

Answer: GCF of Numerators as per given numbers 948/490, 948/220, 558/896 is

GCF of Numerators i.e. for 948,948,558 is 6

LCM of denominators i.e. for 490,220,896 is 344960.

Thus, GCF of Fractions is 6/344960.Finally, GCF of Fractions for 948/490, 948/220, 558/896 is 6/344960.