Greatest Common Factor of 1207/237, 5780/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1207/237, 5780/518

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 1207/237,5780/518

Given fractions are 1207/237,5780/518

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 1207,5780

Greatest Common Factor of Numerators i.e. GCF of 1207,5780 is 17 .

LCM of Denominators means LCM of 237,518 as per the given fractions.

LCM of 237,518 is 122766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1207,5780

GCF of Fractions 1207/237,5780/518 is 17/122766

17 1207, 5780
71, 340

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1207,5780 By Matching Biggest Common Factor Method

Greatest Common Factor of 1207,5780 By Matching Biggest Common Factor Method

Factors of 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1,17,71,1207

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors 1207,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 1207,5780 is 17.

Lets's calculate LCM of 237,518

Given numbers has no common factors except 1. So, there LCM is their product i.e 122766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/122766

Therefore, the GCF of Fractions 1207/237,5780/518 is 17/122766

Least Common Multiple of 237,518 with GCF Formula

Least Common Multiple of 237,518 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 237,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,518) = 1

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

GCF(237,518) x common factors =1 x 1 = 1

LCM(237,518) = ( 237 × 518 ) / 1

LCM(237,518) = 122766 / 1

LCM(237,518) = 122766


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 1207/237, 5780/518

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 1207/237, 5780/518?

Answer: GCF of Numerators as per given numbers 1207/237, 5780/518 is

GCF of Numerators i.e. for 1207,5780 is 17

LCM of denominators i.e. for 237,518 is 122766.

Thus, GCF of Fractions is 17/122766.Finally, GCF of Fractions for 1207/237, 5780/518 is 17/122766.