Greatest Common Factor of 549/67, 974/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/67, 974/214

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 549/67,974/214

Given fractions are 549/67,974/214

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 549,974

Greatest Common Factor of Numerators i.e. GCF of 549,974 is 1 .

LCM of Denominators means LCM of 67,214 as per the given fractions.

LCM of 67,214 is 14338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,974

GCF of Fractions 549/67,974/214 is 1/14338

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

Greatest Common Factor of 549,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,974 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 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 549,974 . The biggest common factor number is the GCF number.
So the greatest common factor 549,974 is 1.

Lets's calculate LCM of 67,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 14338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14338

Therefore, the GCF of Fractions 549/67,974/214 is 1/14338

Least Common Multiple of 67,214 with GCF Formula

Least Common Multiple of 67,214 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 67,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,214) = 1

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

GCF(67,214) x common factors =1 x 1 = 1

LCM(67,214) = ( 67 × 214 ) / 1

LCM(67,214) = 14338 / 1

LCM(67,214) = 14338


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 549/67, 974/214

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 549/67, 974/214?

Answer: GCF of Numerators as per given numbers 549/67, 974/214 is

GCF of Numerators i.e. for 549,974 is 1

LCM of denominators i.e. for 67,214 is 14338.

Thus, GCF of Fractions is 1/14338.Finally, GCF of Fractions for 549/67, 974/214 is 1/14338.