Greatest Common Factor of 1430/66, 9760/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1430/66, 9760/537

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 1430/66,9760/537

Given fractions are 1430/66,9760/537

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 1430,9760

Greatest Common Factor of Numerators i.e. GCF of 1430,9760 is 10 .

LCM of Denominators means LCM of 66,537 as per the given fractions.

LCM of 66,537 is 11814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1430,9760

GCF of Fractions 1430/66,9760/537 is 10/11814

2 1430, 9760
5 715, 4880
143, 976

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1430,9760 By Matching Biggest Common Factor Method

Greatest Common Factor of 1430,9760 By Matching Biggest Common Factor Method

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Greatest Common Factor

We found the factors 1430,9760 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,9760 is 10.

Lets's calculate LCM of 66,537

3 66, 537
22, 179

∴ So the LCM of the given numbers is 3 x 22 x 179 = 11814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/11814

Therefore, the GCF of Fractions 1430/66,9760/537 is 10/11814

Least Common Multiple of 66,537 with GCF Formula

Least Common Multiple of 66,537 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 66,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,537) = 3

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

GCF(66,537) x common factors =3 x 1 = 3

LCM(66,537) = ( 66 × 537 ) / 3

LCM(66,537) = 35442 / 3

LCM(66,537) = 11814


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 1430/66, 9760/537

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 1430/66, 9760/537?

Answer: GCF of Numerators as per given numbers 1430/66, 9760/537 is

GCF of Numerators i.e. for 1430,9760 is 10

LCM of denominators i.e. for 66,537 is 11814.

Thus, GCF of Fractions is 10/11814.Finally, GCF of Fractions for 1430/66, 9760/537 is 10/11814.