Greatest Common Factor of 62/600, 686/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/600, 686/850

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 62/600,686/850

Given fractions are 62/600,686/850

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 62,686

Greatest Common Factor of Numerators i.e. GCF of 62,686 is 2 .

LCM of Denominators means LCM of 600,850 as per the given fractions.

LCM of 600,850 is 10200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,686

GCF of Fractions 62/600,686/850 is 2/10200

2 62, 686
31, 343

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,686 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 62,686 . The biggest common factor number is the GCF number.
So the greatest common factor 62,686 is 2.

Lets's calculate LCM of 600,850

2 600, 850
5 300, 425
5 60, 85
12, 17

∴ So the LCM of the given numbers is 2 x 5 x 5 x 12 x 17 = 10200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10200

Therefore, the GCF of Fractions 62/600,686/850 is 2/10200

Least Common Multiple of 600,850 with GCF Formula

Least Common Multiple of 600,850 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 600,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,850) = 50

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

GCF(600,850) x common factors =50 x 1 = 50

LCM(600,850) = ( 600 × 850 ) / 50

LCM(600,850) = 510000 / 50

LCM(600,850) = 10200


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 62/600, 686/850

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 62/600, 686/850?

Answer: GCF of Numerators as per given numbers 62/600, 686/850 is

GCF of Numerators i.e. for 62,686 is 2

LCM of denominators i.e. for 600,850 is 10200.

Thus, GCF of Fractions is 2/10200.Finally, GCF of Fractions for 62/600, 686/850 is 2/10200.