Greatest Common Factor of 740/680, 8220/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/680, 8220/870

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 740/680,8220/870

Given fractions are 740/680,8220/870

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 740,8220

Greatest Common Factor of Numerators i.e. GCF of 740,8220 is 20 .

LCM of Denominators means LCM of 680,870 as per the given fractions.

LCM of 680,870 is 59160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,8220

GCF of Fractions 740/680,8220/870 is 20/59160

2 740, 8220
2 370, 4110
5 185, 2055
37, 411

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 740,8220 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,8220 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 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 740,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 740,8220 is 20.

Lets's calculate LCM of 680,870

2 680, 870
5 340, 435
68, 87

∴ So the LCM of the given numbers is 2 x 5 x 68 x 87 = 59160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/59160

Therefore, the GCF of Fractions 740/680,8220/870 is 20/59160

Least Common Multiple of 680,870 with GCF Formula

Least Common Multiple of 680,870 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 680,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,870) = 10

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

GCF(680,870) x common factors =10 x 1 = 10

LCM(680,870) = ( 680 × 870 ) / 10

LCM(680,870) = 591600 / 10

LCM(680,870) = 59160


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 740/680, 8220/870

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 740/680, 8220/870?

Answer: GCF of Numerators as per given numbers 740/680, 8220/870 is

GCF of Numerators i.e. for 740,8220 is 20

LCM of denominators i.e. for 680,870 is 59160.

Thus, GCF of Fractions is 20/59160.Finally, GCF of Fractions for 740/680, 8220/870 is 20/59160.