Greatest Common Factor of 1407/235, 7182/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1407/235, 7182/245

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 1407/235,7182/245

Given fractions are 1407/235,7182/245

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 1407,7182

Greatest Common Factor of Numerators i.e. GCF of 1407,7182 is 21 .

LCM of Denominators means LCM of 235,245 as per the given fractions.

LCM of 235,245 is 11515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1407,7182

GCF of Fractions 1407/235,7182/245 is 21/11515

3 1407, 7182
7 469, 2394
67, 342

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 1407,7182 By Matching Biggest Common Factor Method

Greatest Common Factor of 1407,7182 By Matching Biggest Common Factor Method

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1,3,7,21,67,201,469,1407

Factors of 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182

Greatest Common Factor

We found the factors 1407,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 1407,7182 is 21.

Lets's calculate LCM of 235,245

5 235, 245
47, 49

∴ So the LCM of the given numbers is 5 x 47 x 49 = 11515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/11515

Therefore, the GCF of Fractions 1407/235,7182/245 is 21/11515

Least Common Multiple of 235,245 with GCF Formula

Least Common Multiple of 235,245 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 235,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,245) = 5

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

GCF(235,245) x common factors =5 x 1 = 5

LCM(235,245) = ( 235 × 245 ) / 5

LCM(235,245) = 57575 / 5

LCM(235,245) = 11515


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 1407/235, 7182/245

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 1407/235, 7182/245?

Answer: GCF of Numerators as per given numbers 1407/235, 7182/245 is

GCF of Numerators i.e. for 1407,7182 is 21

LCM of denominators i.e. for 235,245 is 11515.

Thus, GCF of Fractions is 21/11515.Finally, GCF of Fractions for 1407/235, 7182/245 is 21/11515.