Greatest Common Factor of 4/67, 54/48, 96/865, 224/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/67, 54/48, 96/865, 224/536

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 4/67,54/48,96/865,224/536

Given fractions are 4/67,54/48,96/865,224/536

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 4,54,96,224

Greatest Common Factor of Numerators i.e. GCF of 4,54,96,224 is 2 .

LCM of Denominators means LCM of 67,48,865,536 as per the given fractions.

LCM of 67,48,865,536 is 2781840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,54,96,224

GCF of Fractions 4/67,54/48,96/865,224/536 is 2/2781840

2 4, 54, 96, 224
2, 27, 48, 112

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

Greatest Common Factor of 4,54,96,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,54,96,224 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 4,54,96,224 . The biggest common factor number is the GCF number.
So the greatest common factor 4,54,96,224 is 2.

Lets's calculate LCM of 67,48,865,536

2 67, 48, 865, 536
2 67, 24, 865, 268
2 67, 12, 865, 134
67 67, 6, 865, 67
1, 6, 865, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 1 x 6 x 865 x 1 = 2781840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2781840

Therefore, the GCF of Fractions 4/67,54/48,96/865,224/536 is 2/2781840

Least Common Multiple of 67,48,865,536 with GCF Formula

Least Common Multiple of 67,48,865,536 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 67,48,865,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,48,865,536) = 1

common factors(in case of two or more numbers have common factors) = 536

GCF(67,48,865,536) x common factors =1 x 536 = 536

LCM(67,48,865,536) = ( 67 × 48 × 865 × 536 ) / 536

LCM(67,48,865,536) = 1491066240 / 536

LCM(67,48,865,536) = 2781840


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 4/67, 54/48, 96/865, 224/536

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 4/67, 54/48, 96/865, 224/536?

Answer: GCF of Numerators as per given numbers 4/67, 54/48, 96/865, 224/536 is

GCF of Numerators i.e. for 4,54,96,224 is 2

LCM of denominators i.e. for 67,48,865,536 is 2781840.

Thus, GCF of Fractions is 2/2781840.Finally, GCF of Fractions for 4/67, 54/48, 96/865, 224/536 is 2/2781840.