Greatest Common Factor of 61/436, 67/948, 109/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/436, 67/948, 109/460

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 61/436,67/948,109/460

Given fractions are 61/436,67/948,109/460

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 61,67,109

Greatest Common Factor of Numerators i.e. GCF of 61,67,109 is 1 .

LCM of Denominators means LCM of 436,948,460 as per the given fractions.

LCM of 436,948,460 is 11883180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,67,109

GCF of Fractions 61/436,67/948,109/460 is 1/11883180

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

Greatest Common Factor of 61,67,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,67,109 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 61,67,109 . The biggest common factor number is the GCF number.
So the greatest common factor 61,67,109 is 1.

Lets's calculate LCM of 436,948,460

2 436, 948, 460
2 218, 474, 230
109, 237, 115

∴ So the LCM of the given numbers is 2 x 2 x 109 x 237 x 115 = 11883180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11883180

Therefore, the GCF of Fractions 61/436,67/948,109/460 is 1/11883180

Least Common Multiple of 436,948,460 with GCF Formula

Least Common Multiple of 436,948,460 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 436,948,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,948,460) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(436,948,460) x common factors =4 x 4 = 16

LCM(436,948,460) = ( 436 × 948 × 460 ) / 16

LCM(436,948,460) = 190130880 / 16

LCM(436,948,460) = 11883180


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 61/436, 67/948, 109/460

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 61/436, 67/948, 109/460?

Answer: GCF of Numerators as per given numbers 61/436, 67/948, 109/460 is

GCF of Numerators i.e. for 61,67,109 is 1

LCM of denominators i.e. for 436,948,460 is 11883180.

Thus, GCF of Fractions is 1/11883180.Finally, GCF of Fractions for 61/436, 67/948, 109/460 is 1/11883180.