Greatest Common Factor of 498/187, 827/317, 840/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/187, 827/317, 840/208

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 498/187,827/317,840/208

Given fractions are 498/187,827/317,840/208

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 498,827,840

Greatest Common Factor of Numerators i.e. GCF of 498,827,840 is 1 .

LCM of Denominators means LCM of 187,317,208 as per the given fractions.

LCM of 187,317,208 is 12330032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,827,840

GCF of Fractions 498/187,827/317,840/208 is 1/12330032

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

Greatest Common Factor of 498,827,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,827,840 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 498,827,840 . The biggest common factor number is the GCF number.
So the greatest common factor 498,827,840 is 1.

Lets's calculate LCM of 187,317,208

Given numbers has no common factors except 1. So, there LCM is their product i.e 12330032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12330032

Therefore, the GCF of Fractions 498/187,827/317,840/208 is 1/12330032

Least Common Multiple of 187,317,208 with GCF Formula

Least Common Multiple of 187,317,208 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 187,317,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,317,208) = 1

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

GCF(187,317,208) x common factors =1 x 1 = 1

LCM(187,317,208) = ( 187 × 317 × 208 ) / 1

LCM(187,317,208) = 12330032 / 1

LCM(187,317,208) = 12330032


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 498/187, 827/317, 840/208

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 498/187, 827/317, 840/208?

Answer: GCF of Numerators as per given numbers 498/187, 827/317, 840/208 is

GCF of Numerators i.e. for 498,827,840 is 1

LCM of denominators i.e. for 187,317,208 is 12330032.

Thus, GCF of Fractions is 1/12330032.Finally, GCF of Fractions for 498/187, 827/317, 840/208 is 1/12330032.