Greatest Common Factor of 581/170, 848/492, 911/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/170, 848/492, 911/984

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 581/170,848/492,911/984

Given fractions are 581/170,848/492,911/984

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 581,848,911

Greatest Common Factor of Numerators i.e. GCF of 581,848,911 is 1 .

LCM of Denominators means LCM of 170,492,984 as per the given fractions.

LCM of 170,492,984 is 83640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,848,911

GCF of Fractions 581/170,848/492,911/984 is 1/83640

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

Greatest Common Factor of 581,848,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,848,911 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 581,848,911 . The biggest common factor number is the GCF number.
So the greatest common factor 581,848,911 is 1.

Lets's calculate LCM of 170,492,984

2 170, 492, 984
2 85, 246, 492
3 85, 123, 246
41 85, 41, 82
85, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 85 x 1 x 2 = 83640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83640

Therefore, the GCF of Fractions 581/170,848/492,911/984 is 1/83640

Least Common Multiple of 170,492,984 with GCF Formula

Least Common Multiple of 170,492,984 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 170,492,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,492,984) = 2

common factors(in case of two or more numbers have common factors) = 492

GCF(170,492,984) x common factors =2 x 492 = 984

LCM(170,492,984) = ( 170 × 492 × 984 ) / 984

LCM(170,492,984) = 82301760 / 984

LCM(170,492,984) = 83640


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 581/170, 848/492, 911/984

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 581/170, 848/492, 911/984?

Answer: GCF of Numerators as per given numbers 581/170, 848/492, 911/984 is

GCF of Numerators i.e. for 581,848,911 is 1

LCM of denominators i.e. for 170,492,984 is 83640.

Thus, GCF of Fractions is 1/83640.Finally, GCF of Fractions for 581/170, 848/492, 911/984 is 1/83640.