Greatest Common Factor of 880/106, 715/748, 290/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 880/106, 715/748, 290/133

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 880/106,715/748,290/133

Given fractions are 880/106,715/748,290/133

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 880,715,290

Greatest Common Factor of Numerators i.e. GCF of 880,715,290 is 5 .

LCM of Denominators means LCM of 106,748,133 as per the given fractions.

LCM of 106,748,133 is 5272652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 880,715,290

GCF of Fractions 880/106,715/748,290/133 is 5/5272652

5 880, 715, 290
176, 143, 58

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 880,715,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,715,290 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 880,715,290 . The biggest common factor number is the GCF number.
So the greatest common factor 880,715,290 is 5.

Lets's calculate LCM of 106,748,133

2 106, 748, 133
53, 374, 133

∴ So the LCM of the given numbers is 2 x 53 x 374 x 133 = 5272652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5272652

Therefore, the GCF of Fractions 880/106,715/748,290/133 is 5/5272652

Least Common Multiple of 106,748,133 with GCF Formula

Least Common Multiple of 106,748,133 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 106,748,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,748,133) = 1

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

GCF(106,748,133) x common factors =1 x 2 = 2

LCM(106,748,133) = ( 106 × 748 × 133 ) / 2

LCM(106,748,133) = 10545304 / 2

LCM(106,748,133) = 5272652


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 880/106, 715/748, 290/133

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 880/106, 715/748, 290/133?

Answer: GCF of Numerators as per given numbers 880/106, 715/748, 290/133 is

GCF of Numerators i.e. for 880,715,290 is 5

LCM of denominators i.e. for 106,748,133 is 5272652.

Thus, GCF of Fractions is 5/5272652.Finally, GCF of Fractions for 880/106, 715/748, 290/133 is 5/5272652.