Greatest Common Factor of 12/535, 89/105, 590/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/535, 89/105, 590/151

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 12/535,89/105,590/151

Given fractions are 12/535,89/105,590/151

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 12,89,590

Greatest Common Factor of Numerators i.e. GCF of 12,89,590 is 1 .

LCM of Denominators means LCM of 535,105,151 as per the given fractions.

LCM of 535,105,151 is 1696485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,89,590

GCF of Fractions 12/535,89/105,590/151 is 1/1696485

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

Greatest Common Factor of 12,89,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,89,590 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 12,89,590 . The biggest common factor number is the GCF number.
So the greatest common factor 12,89,590 is 1.

Lets's calculate LCM of 535,105,151

5 535, 105, 151
107, 21, 151

∴ So the LCM of the given numbers is 5 x 107 x 21 x 151 = 1696485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1696485

Therefore, the GCF of Fractions 12/535,89/105,590/151 is 1/1696485

Least Common Multiple of 535,105,151 with GCF Formula

Least Common Multiple of 535,105,151 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 535,105,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,105,151) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(535,105,151) x common factors =1 x 5 = 5

LCM(535,105,151) = ( 535 × 105 × 151 ) / 5

LCM(535,105,151) = 8482425 / 5

LCM(535,105,151) = 1696485


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 12/535, 89/105, 590/151

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 12/535, 89/105, 590/151?

Answer: GCF of Numerators as per given numbers 12/535, 89/105, 590/151 is

GCF of Numerators i.e. for 12,89,590 is 1

LCM of denominators i.e. for 535,105,151 is 1696485.

Thus, GCF of Fractions is 1/1696485.Finally, GCF of Fractions for 12/535, 89/105, 590/151 is 1/1696485.