Greatest Common Factor of 7/46, 96/75, 47/637, 533/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/46, 96/75, 47/637, 533/654

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 7/46,96/75,47/637,533/654

Given fractions are 7/46,96/75,47/637,533/654

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 7,96,47,533

Greatest Common Factor of Numerators i.e. GCF of 7,96,47,533 is 1 .

LCM of Denominators means LCM of 46,75,637,654 as per the given fractions.

LCM of 46,75,637,654 is 239543850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,96,47,533

GCF of Fractions 7/46,96/75,47/637,533/654 is 1/239543850

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

Greatest Common Factor of 7,96,47,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,96,47,533 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 7,96,47,533 . The biggest common factor number is the GCF number.
So the greatest common factor 7,96,47,533 is 1.

Lets's calculate LCM of 46,75,637,654

2 46, 75, 637, 654
3 23, 75, 637, 327
23, 25, 637, 109

∴ So the LCM of the given numbers is 2 x 3 x 23 x 25 x 637 x 109 = 239543850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239543850

Therefore, the GCF of Fractions 7/46,96/75,47/637,533/654 is 1/239543850

Least Common Multiple of 46,75,637,654 with GCF Formula

Least Common Multiple of 46,75,637,654 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 46,75,637,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,75,637,654) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(46,75,637,654) x common factors =1 x 6 = 6

LCM(46,75,637,654) = ( 46 × 75 × 637 × 654 ) / 6

LCM(46,75,637,654) = 1437263100 / 6

LCM(46,75,637,654) = 239543850


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 7/46, 96/75, 47/637, 533/654

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 7/46, 96/75, 47/637, 533/654?

Answer: GCF of Numerators as per given numbers 7/46, 96/75, 47/637, 533/654 is

GCF of Numerators i.e. for 7,96,47,533 is 1

LCM of denominators i.e. for 46,75,637,654 is 239543850.

Thus, GCF of Fractions is 1/239543850.Finally, GCF of Fractions for 7/46, 96/75, 47/637, 533/654 is 1/239543850.