Greatest Common Factor of 7730/724, 5515/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7730/724, 5515/459

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 7730/724,5515/459

Given fractions are 7730/724,5515/459

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 7730,5515

Greatest Common Factor of Numerators i.e. GCF of 7730,5515 is 5 .

LCM of Denominators means LCM of 724,459 as per the given fractions.

LCM of 724,459 is 332316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7730,5515

GCF of Fractions 7730/724,5515/459 is 5/332316

5 7730, 5515
1546, 1103

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7730,5515 By Matching Biggest Common Factor Method

Greatest Common Factor of 7730,5515 By Matching Biggest Common Factor Method

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1,5,1103,5515

Greatest Common Factor

We found the factors 7730,5515 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,5515 is 5.

Lets's calculate LCM of 724,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 332316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/332316

Therefore, the GCF of Fractions 7730/724,5515/459 is 5/332316

Least Common Multiple of 724,459 with GCF Formula

Least Common Multiple of 724,459 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 724,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,459) = 1

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

GCF(724,459) x common factors =1 x 1 = 1

LCM(724,459) = ( 724 × 459 ) / 1

LCM(724,459) = 332316 / 1

LCM(724,459) = 332316


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 7730/724, 5515/459

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 7730/724, 5515/459?

Answer: GCF of Numerators as per given numbers 7730/724, 5515/459 is

GCF of Numerators i.e. for 7730,5515 is 5

LCM of denominators i.e. for 724,459 is 332316.

Thus, GCF of Fractions is 5/332316.Finally, GCF of Fractions for 7730/724, 5515/459 is 5/332316.