Greatest Common Factor of 7795/34, 7475/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7795/34, 7475/499

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 7795/34,7475/499

Given fractions are 7795/34,7475/499

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 7795,7475

Greatest Common Factor of Numerators i.e. GCF of 7795,7475 is 5 .

LCM of Denominators means LCM of 34,499 as per the given fractions.

LCM of 34,499 is 16966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7795,7475

GCF of Fractions 7795/34,7475/499 is 5/16966

5 7795, 7475
1559, 1495

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

Greatest Common Factor of 7795,7475 By Matching Biggest Common Factor Method

Greatest Common Factor of 7795,7475 By Matching Biggest Common Factor Method

Factors of 7795

List of positive integer factors of 7795 that divides 7795 without a remainder.

1,5,1559,7795

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1,5,13,23,25,65,115,299,325,575,1495,7475

Greatest Common Factor

We found the factors 7795,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 7795,7475 is 5.

Lets's calculate LCM of 34,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 16966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/16966

Therefore, the GCF of Fractions 7795/34,7475/499 is 5/16966

Least Common Multiple of 34,499 with GCF Formula

Least Common Multiple of 34,499 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 34,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,499) = 1

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

GCF(34,499) x common factors =1 x 1 = 1

LCM(34,499) = ( 34 × 499 ) / 1

LCM(34,499) = 16966 / 1

LCM(34,499) = 16966


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 7795/34, 7475/499

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 7795/34, 7475/499?

Answer: GCF of Numerators as per given numbers 7795/34, 7475/499 is

GCF of Numerators i.e. for 7795,7475 is 5

LCM of denominators i.e. for 34,499 is 16966.

Thus, GCF of Fractions is 5/16966.Finally, GCF of Fractions for 7795/34, 7475/499 is 5/16966.