Greatest Common Factor of 3290/534, 7735/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3290/534, 7735/135

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 3290/534,7735/135

Given fractions are 3290/534,7735/135

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 3290,7735

Greatest Common Factor of Numerators i.e. GCF of 3290,7735 is 35 .

LCM of Denominators means LCM of 534,135 as per the given fractions.

LCM of 534,135 is 24030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3290,7735

GCF of Fractions 3290/534,7735/135 is 35/24030

5 3290, 7735
7 658, 1547
94, 221

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 3290,7735 By Matching Biggest Common Factor Method

Greatest Common Factor of 3290,7735 By Matching Biggest Common Factor Method

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735

Greatest Common Factor

We found the factors 3290,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,7735 is 35.

Lets's calculate LCM of 534,135

3 534, 135
178, 45

∴ So the LCM of the given numbers is 3 x 178 x 45 = 24030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/24030

Therefore, the GCF of Fractions 3290/534,7735/135 is 35/24030

Least Common Multiple of 534,135 with GCF Formula

Least Common Multiple of 534,135 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 534,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,135) = 3

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

GCF(534,135) x common factors =3 x 1 = 3

LCM(534,135) = ( 534 × 135 ) / 3

LCM(534,135) = 72090 / 3

LCM(534,135) = 24030


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 3290/534, 7735/135

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 3290/534, 7735/135?

Answer: GCF of Numerators as per given numbers 3290/534, 7735/135 is

GCF of Numerators i.e. for 3290,7735 is 35

LCM of denominators i.e. for 534,135 is 24030.

Thus, GCF of Fractions is 35/24030.Finally, GCF of Fractions for 3290/534, 7735/135 is 35/24030.