Greatest Common Factor of 949/39, 701/71, 213/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/39, 701/71, 213/282

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 949/39,701/71,213/282

Given fractions are 949/39,701/71,213/282

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 949,701,213

Greatest Common Factor of Numerators i.e. GCF of 949,701,213 is 1 .

LCM of Denominators means LCM of 39,71,282 as per the given fractions.

LCM of 39,71,282 is 260286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,701,213

GCF of Fractions 949/39,701/71,213/282 is 1/260286

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 949,701,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,701,213 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 949,701,213 . The biggest common factor number is the GCF number.
So the greatest common factor 949,701,213 is 1.

Lets's calculate LCM of 39,71,282

3 39, 71, 282
13, 71, 94

∴ So the LCM of the given numbers is 3 x 13 x 71 x 94 = 260286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260286

Therefore, the GCF of Fractions 949/39,701/71,213/282 is 1/260286

Least Common Multiple of 39,71,282 with GCF Formula

Least Common Multiple of 39,71,282 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 39,71,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,71,282) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,71,282) x common factors =1 x 3 = 3

LCM(39,71,282) = ( 39 × 71 × 282 ) / 3

LCM(39,71,282) = 780858 / 3

LCM(39,71,282) = 260286


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 949/39, 701/71, 213/282

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 949/39, 701/71, 213/282?

Answer: GCF of Numerators as per given numbers 949/39, 701/71, 213/282 is

GCF of Numerators i.e. for 949,701,213 is 1

LCM of denominators i.e. for 39,71,282 is 260286.

Thus, GCF of Fractions is 1/260286.Finally, GCF of Fractions for 949/39, 701/71, 213/282 is 1/260286.