Greatest Common Factor of 358/28, 899/26, 436/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 358/28, 899/26, 436/609

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 358/28,899/26,436/609

Given fractions are 358/28,899/26,436/609

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 358,899,436

Greatest Common Factor of Numerators i.e. GCF of 358,899,436 is 1 .

LCM of Denominators means LCM of 28,26,609 as per the given fractions.

LCM of 28,26,609 is 31668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 358,899,436

GCF of Fractions 358/28,899/26,436/609 is 1/31668

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

Greatest Common Factor of 358,899,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,899,436 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 358,899,436 . The biggest common factor number is the GCF number.
So the greatest common factor 358,899,436 is 1.

Lets's calculate LCM of 28,26,609

2 28, 26, 609
7 14, 13, 609
2, 13, 87

∴ So the LCM of the given numbers is 2 x 7 x 2 x 13 x 87 = 31668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31668

Therefore, the GCF of Fractions 358/28,899/26,436/609 is 1/31668

Least Common Multiple of 28,26,609 with GCF Formula

Least Common Multiple of 28,26,609 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 28,26,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,26,609) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(28,26,609) x common factors =1 x 14 = 14

LCM(28,26,609) = ( 28 × 26 × 609 ) / 14

LCM(28,26,609) = 443352 / 14

LCM(28,26,609) = 31668


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 358/28, 899/26, 436/609

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 358/28, 899/26, 436/609?

Answer: GCF of Numerators as per given numbers 358/28, 899/26, 436/609 is

GCF of Numerators i.e. for 358,899,436 is 1

LCM of denominators i.e. for 28,26,609 is 31668.

Thus, GCF of Fractions is 1/31668.Finally, GCF of Fractions for 358/28, 899/26, 436/609 is 1/31668.