Greatest Common Factor of 740/87, 222/8868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/87, 222/8868

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 740/87,222/8868

Given fractions are 740/87,222/8868

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 740,222

Greatest Common Factor of Numerators i.e. GCF of 740,222 is 74 .

LCM of Denominators means LCM of 87,8868 as per the given fractions.

LCM of 87,8868 is 257172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,222

GCF of Fractions 740/87,222/8868 is 74/257172

2 740, 222
37 370, 111
10, 3

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 740,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,222 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 740,222 . The biggest common factor number is the GCF number.
So the greatest common factor 740,222 is 74.

Lets's calculate LCM of 87,8868

3 87, 8868
29, 2956

∴ So the LCM of the given numbers is 3 x 29 x 2956 = 257172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/257172

Therefore, the GCF of Fractions 740/87,222/8868 is 74/257172

Least Common Multiple of 87,8868 with GCF Formula

Least Common Multiple of 87,8868 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 87,8868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,8868) = 3

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

GCF(87,8868) x common factors =3 x 1 = 3

LCM(87,8868) = ( 87 × 8868 ) / 3

LCM(87,8868) = 771516 / 3

LCM(87,8868) = 257172


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 740/87, 222/8868

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 740/87, 222/8868?

Answer: GCF of Numerators as per given numbers 740/87, 222/8868 is

GCF of Numerators i.e. for 740,222 is 74

LCM of denominators i.e. for 87,8868 is 257172.

Thus, GCF of Fractions is 74/257172.Finally, GCF of Fractions for 740/87, 222/8868 is 74/257172.