Greatest Common Factor of 73/68, 256/14, 355/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/68, 256/14, 355/632

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 73/68,256/14,355/632

Given fractions are 73/68,256/14,355/632

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 73,256,355

Greatest Common Factor of Numerators i.e. GCF of 73,256,355 is 1 .

LCM of Denominators means LCM of 68,14,632 as per the given fractions.

LCM of 68,14,632 is 75208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,256,355

GCF of Fractions 73/68,256/14,355/632 is 1/75208

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

Greatest Common Factor of 73,256,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,256,355 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 73,256,355 . The biggest common factor number is the GCF number.
So the greatest common factor 73,256,355 is 1.

Lets's calculate LCM of 68,14,632

2 68, 14, 632
2 34, 7, 316
17, 7, 158

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 158 = 75208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75208

Therefore, the GCF of Fractions 73/68,256/14,355/632 is 1/75208

Least Common Multiple of 68,14,632 with GCF Formula

Least Common Multiple of 68,14,632 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 68,14,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,14,632) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(68,14,632) x common factors =2 x 4 = 8

LCM(68,14,632) = ( 68 × 14 × 632 ) / 8

LCM(68,14,632) = 601664 / 8

LCM(68,14,632) = 75208


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 73/68, 256/14, 355/632

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 73/68, 256/14, 355/632?

Answer: GCF of Numerators as per given numbers 73/68, 256/14, 355/632 is

GCF of Numerators i.e. for 73,256,355 is 1

LCM of denominators i.e. for 68,14,632 is 75208.

Thus, GCF of Fractions is 1/75208.Finally, GCF of Fractions for 73/68, 256/14, 355/632 is 1/75208.