Greatest Common Factor of 611/411, 690/296, 850/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/411, 690/296, 850/557

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 611/411,690/296,850/557

Given fractions are 611/411,690/296,850/557

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 611,690,850

Greatest Common Factor of Numerators i.e. GCF of 611,690,850 is 1 .

LCM of Denominators means LCM of 411,296,557 as per the given fractions.

LCM of 411,296,557 is 67762392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,690,850

GCF of Fractions 611/411,690/296,850/557 is 1/67762392

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

Greatest Common Factor of 611,690,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,690,850 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 611,690,850 . The biggest common factor number is the GCF number.
So the greatest common factor 611,690,850 is 1.

Lets's calculate LCM of 411,296,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 67762392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67762392

Therefore, the GCF of Fractions 611/411,690/296,850/557 is 1/67762392

Least Common Multiple of 411,296,557 with GCF Formula

Least Common Multiple of 411,296,557 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 411,296,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,296,557) = 1

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

GCF(411,296,557) x common factors =1 x 1 = 1

LCM(411,296,557) = ( 411 × 296 × 557 ) / 1

LCM(411,296,557) = 67762392 / 1

LCM(411,296,557) = 67762392


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 611/411, 690/296, 850/557

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 611/411, 690/296, 850/557?

Answer: GCF of Numerators as per given numbers 611/411, 690/296, 850/557 is

GCF of Numerators i.e. for 611,690,850 is 1

LCM of denominators i.e. for 411,296,557 is 67762392.

Thus, GCF of Fractions is 1/67762392.Finally, GCF of Fractions for 611/411, 690/296, 850/557 is 1/67762392.