Greatest Common Factor of 68/905, 580/746, 368/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/905, 580/746, 368/880

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 68/905,580/746,368/880

Given fractions are 68/905,580/746,368/880

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 68,580,368

Greatest Common Factor of Numerators i.e. GCF of 68,580,368 is 4 .

LCM of Denominators means LCM of 905,746,880 as per the given fractions.

LCM of 905,746,880 is 59411440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,580,368

GCF of Fractions 68/905,580/746,368/880 is 4/59411440

2 68, 580, 368
2 34, 290, 184
17, 145, 92

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,580,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,580,368 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 68,580,368 . The biggest common factor number is the GCF number.
So the greatest common factor 68,580,368 is 4.

Lets's calculate LCM of 905,746,880

2 905, 746, 880
5 905, 373, 440
181, 373, 88

∴ So the LCM of the given numbers is 2 x 5 x 181 x 373 x 88 = 59411440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59411440

Therefore, the GCF of Fractions 68/905,580/746,368/880 is 4/59411440

Least Common Multiple of 905,746,880 with GCF Formula

Least Common Multiple of 905,746,880 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 905,746,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,746,880) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(905,746,880) x common factors =1 x 10 = 10

LCM(905,746,880) = ( 905 × 746 × 880 ) / 10

LCM(905,746,880) = 594114400 / 10

LCM(905,746,880) = 59411440


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 68/905, 580/746, 368/880

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 68/905, 580/746, 368/880?

Answer: GCF of Numerators as per given numbers 68/905, 580/746, 368/880 is

GCF of Numerators i.e. for 68,580,368 is 4

LCM of denominators i.e. for 905,746,880 is 59411440.

Thus, GCF of Fractions is 4/59411440.Finally, GCF of Fractions for 68/905, 580/746, 368/880 is 4/59411440.