Greatest Common Factor of 713/22, 7429/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/22, 7429/775

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 713/22,7429/775

Given fractions are 713/22,7429/775

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 713,7429

Greatest Common Factor of Numerators i.e. GCF of 713,7429 is 23 .

LCM of Denominators means LCM of 22,775 as per the given fractions.

LCM of 22,775 is 17050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,7429

GCF of Fractions 713/22,7429/775 is 23/17050

23 713, 7429
31, 323

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 713,7429 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,7429 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1,17,19,23,323,391,437,7429

Greatest Common Factor

We found the factors 713,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 713,7429 is 23.

Lets's calculate LCM of 22,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 17050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/17050

Therefore, the GCF of Fractions 713/22,7429/775 is 23/17050

Least Common Multiple of 22,775 with GCF Formula

Least Common Multiple of 22,775 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 22,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,775) = 1

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

GCF(22,775) x common factors =1 x 1 = 1

LCM(22,775) = ( 22 × 775 ) / 1

LCM(22,775) = 17050 / 1

LCM(22,775) = 17050


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 713/22, 7429/775

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 713/22, 7429/775?

Answer: GCF of Numerators as per given numbers 713/22, 7429/775 is

GCF of Numerators i.e. for 713,7429 is 23

LCM of denominators i.e. for 22,775 is 17050.

Thus, GCF of Fractions is 23/17050.Finally, GCF of Fractions for 713/22, 7429/775 is 23/17050.