Greatest Common Factor of 1010/72, 5512/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1010/72, 5512/829

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 1010/72,5512/829

Given fractions are 1010/72,5512/829

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 1010,5512

Greatest Common Factor of Numerators i.e. GCF of 1010,5512 is 2 .

LCM of Denominators means LCM of 72,829 as per the given fractions.

LCM of 72,829 is 59688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1010,5512

GCF of Fractions 1010/72,5512/829 is 2/59688

2 1010, 5512
505, 2756

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

Greatest Common Factor of 1010,5512 By Matching Biggest Common Factor Method

Greatest Common Factor of 1010,5512 By Matching Biggest Common Factor Method

Factors of 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1,2,5,10,101,202,505,1010

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors 1010,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,5512 is 2.

Lets's calculate LCM of 72,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 59688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59688

Therefore, the GCF of Fractions 1010/72,5512/829 is 2/59688

Least Common Multiple of 72,829 with GCF Formula

Least Common Multiple of 72,829 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 72,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,829) = 1

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

GCF(72,829) x common factors =1 x 1 = 1

LCM(72,829) = ( 72 × 829 ) / 1

LCM(72,829) = 59688 / 1

LCM(72,829) = 59688


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 1010/72, 5512/829

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 1010/72, 5512/829?

Answer: GCF of Numerators as per given numbers 1010/72, 5512/829 is

GCF of Numerators i.e. for 1010,5512 is 2

LCM of denominators i.e. for 72,829 is 59688.

Thus, GCF of Fractions is 2/59688.Finally, GCF of Fractions for 1010/72, 5512/829 is 2/59688.