Greatest Common Factor of 218/240, 784/120, 975/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/240, 784/120, 975/427

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 218/240,784/120,975/427

Given fractions are 218/240,784/120,975/427

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 218,784,975

Greatest Common Factor of Numerators i.e. GCF of 218,784,975 is 1 .

LCM of Denominators means LCM of 240,120,427 as per the given fractions.

LCM of 240,120,427 is 102480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,784,975

GCF of Fractions 218/240,784/120,975/427 is 1/102480

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

Greatest Common Factor of 218,784,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,784,975 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 218,784,975 . The biggest common factor number is the GCF number.
So the greatest common factor 218,784,975 is 1.

Lets's calculate LCM of 240,120,427

2 240, 120, 427
2 120, 60, 427
2 30, 60, 427
3 15, 30, 427
5 5, 10, 427
1, 2, 427

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 x 427 = 102480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102480

Therefore, the GCF of Fractions 218/240,784/120,975/427 is 1/102480

Least Common Multiple of 240,120,427 with GCF Formula

Least Common Multiple of 240,120,427 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 240,120,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,120,427) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(240,120,427) x common factors =1 x 120 = 120

LCM(240,120,427) = ( 240 × 120 × 427 ) / 120

LCM(240,120,427) = 12297600 / 120

LCM(240,120,427) = 102480


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 218/240, 784/120, 975/427

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 218/240, 784/120, 975/427?

Answer: GCF of Numerators as per given numbers 218/240, 784/120, 975/427 is

GCF of Numerators i.e. for 218,784,975 is 1

LCM of denominators i.e. for 240,120,427 is 102480.

Thus, GCF of Fractions is 1/102480.Finally, GCF of Fractions for 218/240, 784/120, 975/427 is 1/102480.