Greatest Common Factor of 70/30, 74/133, 653/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/30, 74/133, 653/716

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 70/30,74/133,653/716

Given fractions are 70/30,74/133,653/716

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 70,74,653

Greatest Common Factor of Numerators i.e. GCF of 70,74,653 is 1 .

LCM of Denominators means LCM of 30,133,716 as per the given fractions.

LCM of 30,133,716 is 1428420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,74,653

GCF of Fractions 70/30,74/133,653/716 is 1/1428420

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

Greatest Common Factor of 70,74,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,74,653 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 70,74,653 . The biggest common factor number is the GCF number.
So the greatest common factor 70,74,653 is 1.

Lets's calculate LCM of 30,133,716

2 30, 133, 716
15, 133, 358

∴ So the LCM of the given numbers is 2 x 15 x 133 x 358 = 1428420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428420

Therefore, the GCF of Fractions 70/30,74/133,653/716 is 1/1428420

Least Common Multiple of 30,133,716 with GCF Formula

Least Common Multiple of 30,133,716 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 30,133,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,133,716) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,133,716) x common factors =1 x 2 = 2

LCM(30,133,716) = ( 30 × 133 × 716 ) / 2

LCM(30,133,716) = 2856840 / 2

LCM(30,133,716) = 1428420


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 70/30, 74/133, 653/716

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 70/30, 74/133, 653/716?

Answer: GCF of Numerators as per given numbers 70/30, 74/133, 653/716 is

GCF of Numerators i.e. for 70,74,653 is 1

LCM of denominators i.e. for 30,133,716 is 1428420.

Thus, GCF of Fractions is 1/1428420.Finally, GCF of Fractions for 70/30, 74/133, 653/716 is 1/1428420.