Greatest Common Factor of 549/34, 954/71, 993/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/34, 954/71, 993/869

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 549/34,954/71,993/869

Given fractions are 549/34,954/71,993/869

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 549,954,993

Greatest Common Factor of Numerators i.e. GCF of 549,954,993 is 3 .

LCM of Denominators means LCM of 34,71,869 as per the given fractions.

LCM of 34,71,869 is 2097766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,954,993

GCF of Fractions 549/34,954/71,993/869 is 3/2097766

3 549, 954, 993
183, 318, 331

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 549,954,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,954,993 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 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 549,954,993 . The biggest common factor number is the GCF number.
So the greatest common factor 549,954,993 is 3.

Lets's calculate LCM of 34,71,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 2097766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2097766

Therefore, the GCF of Fractions 549/34,954/71,993/869 is 3/2097766

Least Common Multiple of 34,71,869 with GCF Formula

Least Common Multiple of 34,71,869 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 34,71,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,71,869) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(34,71,869) x common factors =1 x 1 = 1

LCM(34,71,869) = ( 34 × 71 × 869 ) / 1

LCM(34,71,869) = 2097766 / 1

LCM(34,71,869) = 2097766


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 549/34, 954/71, 993/869

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 549/34, 954/71, 993/869?

Answer: GCF of Numerators as per given numbers 549/34, 954/71, 993/869 is

GCF of Numerators i.e. for 549,954,993 is 3

LCM of denominators i.e. for 34,71,869 is 2097766.

Thus, GCF of Fractions is 3/2097766.Finally, GCF of Fractions for 549/34, 954/71, 993/869 is 3/2097766.