Greatest Common Factor of 580/197, 1784/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/197, 1784/101

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 580/197,1784/101

Given fractions are 580/197,1784/101

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 580,1784

Greatest Common Factor of Numerators i.e. GCF of 580,1784 is 4 .

LCM of Denominators means LCM of 197,101 as per the given fractions.

LCM of 197,101 is 19897 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,1784

GCF of Fractions 580/197,1784/101 is 4/19897

2 580, 1784
2 290, 892
145, 446

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

Greatest Common Factor of 580,1784 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,1784 By Matching Biggest Common Factor Method

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 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Greatest Common Factor

We found the factors 580,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 580,1784 is 4.

Lets's calculate LCM of 197,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 19897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19897

Therefore, the GCF of Fractions 580/197,1784/101 is 4/19897

Least Common Multiple of 197,101 with GCF Formula

Least Common Multiple of 197,101 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 197,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,101) = 1

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

GCF(197,101) x common factors =1 x 1 = 1

LCM(197,101) = ( 197 × 101 ) / 1

LCM(197,101) = 19897 / 1

LCM(197,101) = 19897


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 580/197, 1784/101

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 580/197, 1784/101?

Answer: GCF of Numerators as per given numbers 580/197, 1784/101 is

GCF of Numerators i.e. for 580,1784 is 4

LCM of denominators i.e. for 197,101 is 19897.

Thus, GCF of Fractions is 4/19897.Finally, GCF of Fractions for 580/197, 1784/101 is 4/19897.