Greatest Common Factor of 850/559, 610/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/559, 610/694

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 850/559,610/694

Given fractions are 850/559,610/694

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 850,610

Greatest Common Factor of Numerators i.e. GCF of 850,610 is 10 .

LCM of Denominators means LCM of 559,694 as per the given fractions.

LCM of 559,694 is 387946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,610

GCF of Fractions 850/559,610/694 is 10/387946

2 850, 610
5 425, 305
85, 61

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 850,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,610 By Matching Biggest Common Factor Method

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

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 850,610 . The biggest common factor number is the GCF number.
So the greatest common factor 850,610 is 10.

Lets's calculate LCM of 559,694

Given numbers has no common factors except 1. So, there LCM is their product i.e 387946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/387946

Therefore, the GCF of Fractions 850/559,610/694 is 10/387946

Least Common Multiple of 559,694 with GCF Formula

Least Common Multiple of 559,694 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 559,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,694) = 1

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

GCF(559,694) x common factors =1 x 1 = 1

LCM(559,694) = ( 559 × 694 ) / 1

LCM(559,694) = 387946 / 1

LCM(559,694) = 387946


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 850/559, 610/694

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 850/559, 610/694?

Answer: GCF of Numerators as per given numbers 850/559, 610/694 is

GCF of Numerators i.e. for 850,610 is 10

LCM of denominators i.e. for 559,694 is 387946.

Thus, GCF of Fractions is 10/387946.Finally, GCF of Fractions for 850/559, 610/694 is 10/387946.