Greatest Common Factor of 61/813, 169/800, 912/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/813, 169/800, 912/419

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 61/813,169/800,912/419

Given fractions are 61/813,169/800,912/419

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 61,169,912

Greatest Common Factor of Numerators i.e. GCF of 61,169,912 is 1 .

LCM of Denominators means LCM of 813,800,419 as per the given fractions.

LCM of 813,800,419 is 272517600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,169,912

GCF of Fractions 61/813,169/800,912/419 is 1/272517600

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

Greatest Common Factor of 61,169,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,169,912 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 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 61,169,912 . The biggest common factor number is the GCF number.
So the greatest common factor 61,169,912 is 1.

Lets's calculate LCM of 813,800,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 272517600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272517600

Therefore, the GCF of Fractions 61/813,169/800,912/419 is 1/272517600

Least Common Multiple of 813,800,419 with GCF Formula

Least Common Multiple of 813,800,419 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 813,800,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,800,419) = 1

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

GCF(813,800,419) x common factors =1 x 1 = 1

LCM(813,800,419) = ( 813 × 800 × 419 ) / 1

LCM(813,800,419) = 272517600 / 1

LCM(813,800,419) = 272517600


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 61/813, 169/800, 912/419

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 61/813, 169/800, 912/419?

Answer: GCF of Numerators as per given numbers 61/813, 169/800, 912/419 is

GCF of Numerators i.e. for 61,169,912 is 1

LCM of denominators i.e. for 813,800,419 is 272517600.

Thus, GCF of Fractions is 1/272517600.Finally, GCF of Fractions for 61/813, 169/800, 912/419 is 1/272517600.