Greatest Common Factor of 88/345, 343/226, 597/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/345, 343/226, 597/882

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 88/345,343/226,597/882

Given fractions are 88/345,343/226,597/882

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 88,343,597

Greatest Common Factor of Numerators i.e. GCF of 88,343,597 is 1 .

LCM of Denominators means LCM of 345,226,882 as per the given fractions.

LCM of 345,226,882 is 11461590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,343,597

GCF of Fractions 88/345,343/226,597/882 is 1/11461590

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

Greatest Common Factor of 88,343,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,343,597 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 88,343,597 . The biggest common factor number is the GCF number.
So the greatest common factor 88,343,597 is 1.

Lets's calculate LCM of 345,226,882

2 345, 226, 882
3 345, 113, 441
115, 113, 147

∴ So the LCM of the given numbers is 2 x 3 x 115 x 113 x 147 = 11461590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11461590

Therefore, the GCF of Fractions 88/345,343/226,597/882 is 1/11461590

Least Common Multiple of 345,226,882 with GCF Formula

Least Common Multiple of 345,226,882 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 345,226,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,226,882) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(345,226,882) x common factors =1 x 6 = 6

LCM(345,226,882) = ( 345 × 226 × 882 ) / 6

LCM(345,226,882) = 68769540 / 6

LCM(345,226,882) = 11461590


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 88/345, 343/226, 597/882

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 88/345, 343/226, 597/882?

Answer: GCF of Numerators as per given numbers 88/345, 343/226, 597/882 is

GCF of Numerators i.e. for 88,343,597 is 1

LCM of denominators i.e. for 345,226,882 is 11461590.

Thus, GCF of Fractions is 1/11461590.Finally, GCF of Fractions for 88/345, 343/226, 597/882 is 1/11461590.