Greatest Common Factor of 549/40, 163/34, 852/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/40, 163/34, 852/988

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 549/40,163/34,852/988

Given fractions are 549/40,163/34,852/988

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 549,163,852

Greatest Common Factor of Numerators i.e. GCF of 549,163,852 is 1 .

LCM of Denominators means LCM of 40,34,988 as per the given fractions.

LCM of 40,34,988 is 167960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,163,852

GCF of Fractions 549/40,163/34,852/988 is 1/167960

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

Greatest Common Factor of 549,163,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,163,852 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 549,163,852 . The biggest common factor number is the GCF number.
So the greatest common factor 549,163,852 is 1.

Lets's calculate LCM of 40,34,988

2 40, 34, 988
2 20, 17, 494
10, 17, 247

∴ So the LCM of the given numbers is 2 x 2 x 10 x 17 x 247 = 167960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167960

Therefore, the GCF of Fractions 549/40,163/34,852/988 is 1/167960

Least Common Multiple of 40,34,988 with GCF Formula

Least Common Multiple of 40,34,988 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 40,34,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,34,988) = 2

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

GCF(40,34,988) x common factors =2 x 4 = 8

LCM(40,34,988) = ( 40 × 34 × 988 ) / 8

LCM(40,34,988) = 1343680 / 8

LCM(40,34,988) = 167960


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 549/40, 163/34, 852/988

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 549/40, 163/34, 852/988?

Answer: GCF of Numerators as per given numbers 549/40, 163/34, 852/988 is

GCF of Numerators i.e. for 549,163,852 is 1

LCM of denominators i.e. for 40,34,988 is 167960.

Thus, GCF of Fractions is 1/167960.Finally, GCF of Fractions for 549/40, 163/34, 852/988 is 1/167960.