Greatest Common Factor of 61/18, 549/89, 277/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/18, 549/89, 277/994

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 61/18,549/89,277/994

Given fractions are 61/18,549/89,277/994

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 61,549,277

Greatest Common Factor of Numerators i.e. GCF of 61,549,277 is 1 .

LCM of Denominators means LCM of 18,89,994 as per the given fractions.

LCM of 18,89,994 is 796194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,549,277

GCF of Fractions 61/18,549/89,277/994 is 1/796194

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

Greatest Common Factor of 61,549,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,549,277 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 549

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

1,3,9,61,183,549

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 61,549,277 . The biggest common factor number is the GCF number.
So the greatest common factor 61,549,277 is 1.

Lets's calculate LCM of 18,89,994

2 18, 89, 994
9, 89, 497

∴ So the LCM of the given numbers is 2 x 9 x 89 x 497 = 796194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796194

Therefore, the GCF of Fractions 61/18,549/89,277/994 is 1/796194

Least Common Multiple of 18,89,994 with GCF Formula

Least Common Multiple of 18,89,994 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 18,89,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,89,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,89,994) x common factors =1 x 2 = 2

LCM(18,89,994) = ( 18 × 89 × 994 ) / 2

LCM(18,89,994) = 1592388 / 2

LCM(18,89,994) = 796194


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 61/18, 549/89, 277/994

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 61/18, 549/89, 277/994?

Answer: GCF of Numerators as per given numbers 61/18, 549/89, 277/994 is

GCF of Numerators i.e. for 61,549,277 is 1

LCM of denominators i.e. for 18,89,994 is 796194.

Thus, GCF of Fractions is 1/796194.Finally, GCF of Fractions for 61/18, 549/89, 277/994 is 1/796194.