Greatest Common Factor of 880/574, 780/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 880/574, 780/194

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 880/574,780/194

Given fractions are 880/574,780/194

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 880,780

Greatest Common Factor of Numerators i.e. GCF of 880,780 is 20 .

LCM of Denominators means LCM of 574,194 as per the given fractions.

LCM of 574,194 is 55678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 880,780

GCF of Fractions 880/574,780/194 is 20/55678

2 880, 780
2 440, 390
5 220, 195
44, 39

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

Greatest Common Factor of 880,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,780 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 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 880,780 . The biggest common factor number is the GCF number.
So the greatest common factor 880,780 is 20.

Lets's calculate LCM of 574,194

2 574, 194
287, 97

∴ So the LCM of the given numbers is 2 x 287 x 97 = 55678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/55678

Therefore, the GCF of Fractions 880/574,780/194 is 20/55678

Least Common Multiple of 574,194 with GCF Formula

Least Common Multiple of 574,194 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 574,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,194) = 2

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

GCF(574,194) x common factors =2 x 1 = 2

LCM(574,194) = ( 574 × 194 ) / 2

LCM(574,194) = 111356 / 2

LCM(574,194) = 55678


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 880/574, 780/194

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 880/574, 780/194?

Answer: GCF of Numerators as per given numbers 880/574, 780/194 is

GCF of Numerators i.e. for 880,780 is 20

LCM of denominators i.e. for 574,194 is 55678.

Thus, GCF of Fractions is 20/55678.Finally, GCF of Fractions for 880/574, 780/194 is 20/55678.