Greatest Common Factor of 88/592, 383/180, 526/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/592, 383/180, 526/211

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 88/592,383/180,526/211

Given fractions are 88/592,383/180,526/211

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 88,383,526

Greatest Common Factor of Numerators i.e. GCF of 88,383,526 is 1 .

LCM of Denominators means LCM of 592,180,211 as per the given fractions.

LCM of 592,180,211 is 5621040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,383,526

GCF of Fractions 88/592,383/180,526/211 is 1/5621040

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

Greatest Common Factor of 88,383,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,383,526 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 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 88,383,526 . The biggest common factor number is the GCF number.
So the greatest common factor 88,383,526 is 1.

Lets's calculate LCM of 592,180,211

2 592, 180, 211
2 296, 90, 211
148, 45, 211

∴ So the LCM of the given numbers is 2 x 2 x 148 x 45 x 211 = 5621040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5621040

Therefore, the GCF of Fractions 88/592,383/180,526/211 is 1/5621040

Least Common Multiple of 592,180,211 with GCF Formula

Least Common Multiple of 592,180,211 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 592,180,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,180,211) = 1

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

GCF(592,180,211) x common factors =1 x 4 = 4

LCM(592,180,211) = ( 592 × 180 × 211 ) / 4

LCM(592,180,211) = 22484160 / 4

LCM(592,180,211) = 5621040


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 88/592, 383/180, 526/211

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 88/592, 383/180, 526/211?

Answer: GCF of Numerators as per given numbers 88/592, 383/180, 526/211 is

GCF of Numerators i.e. for 88,383,526 is 1

LCM of denominators i.e. for 592,180,211 is 5621040.

Thus, GCF of Fractions is 1/5621040.Finally, GCF of Fractions for 88/592, 383/180, 526/211 is 1/5621040.