Greatest Common Factor of 29/610, 1052/8273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/610, 1052/8273

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 29/610,1052/8273

Given fractions are 29/610,1052/8273

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 29,1052

Greatest Common Factor of Numerators i.e. GCF of 29,1052 is 1 .

LCM of Denominators means LCM of 610,8273 as per the given fractions.

LCM of 610,8273 is 5046530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,1052

GCF of Fractions 29/610,1052/8273 is 1/5046530

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 29,1052 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,1052 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1,2,4,263,526,1052

Greatest Common Factor

We found the factors 29,1052 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1052 is 1.

Lets's calculate LCM of 610,8273

Given numbers has no common factors except 1. So, there LCM is their product i.e 5046530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5046530

Therefore, the GCF of Fractions 29/610,1052/8273 is 1/5046530

Least Common Multiple of 610,8273 with GCF Formula

Least Common Multiple of 610,8273 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 610,8273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,8273) = 1

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

GCF(610,8273) x common factors =1 x 1 = 1

LCM(610,8273) = ( 610 × 8273 ) / 1

LCM(610,8273) = 5046530 / 1

LCM(610,8273) = 5046530


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 29/610, 1052/8273

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 29/610, 1052/8273?

Answer: GCF of Numerators as per given numbers 29/610, 1052/8273 is

GCF of Numerators i.e. for 29,1052 is 1

LCM of denominators i.e. for 610,8273 is 5046530.

Thus, GCF of Fractions is 1/5046530.Finally, GCF of Fractions for 29/610, 1052/8273 is 1/5046530.