Greatest Common Factor of 948/46, 3894/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 948/46, 3894/152

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 948/46,3894/152

Given fractions are 948/46,3894/152

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 948,3894

Greatest Common Factor of Numerators i.e. GCF of 948,3894 is 6 .

LCM of Denominators means LCM of 46,152 as per the given fractions.

LCM of 46,152 is 3496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 948,3894

GCF of Fractions 948/46,3894/152 is 6/3496

2 948, 3894
3 474, 1947
158, 649

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

Greatest Common Factor of 948,3894 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,3894 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 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Greatest Common Factor

We found the factors 948,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 948,3894 is 6.

Lets's calculate LCM of 46,152

2 46, 152
23, 76

∴ So the LCM of the given numbers is 2 x 23 x 76 = 3496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3496

Therefore, the GCF of Fractions 948/46,3894/152 is 6/3496

Least Common Multiple of 46,152 with GCF Formula

Least Common Multiple of 46,152 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 46,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,152) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(46,152) x common factors =2 x 1 = 2

LCM(46,152) = ( 46 × 152 ) / 2

LCM(46,152) = 6992 / 2

LCM(46,152) = 3496


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 948/46, 3894/152

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 948/46, 3894/152?

Answer: GCF of Numerators as per given numbers 948/46, 3894/152 is

GCF of Numerators i.e. for 948,3894 is 6

LCM of denominators i.e. for 46,152 is 3496.

Thus, GCF of Fractions is 6/3496.Finally, GCF of Fractions for 948/46, 3894/152 is 6/3496.