Greatest Common Factor of 465/211, 682/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/211, 682/207

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 465/211,682/207

Given fractions are 465/211,682/207

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 465,682

Greatest Common Factor of Numerators i.e. GCF of 465,682 is 31 .

LCM of Denominators means LCM of 211,207 as per the given fractions.

LCM of 211,207 is 43677 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,682

GCF of Fractions 465/211,682/207 is 31/43677

31 465, 682
15, 22

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 465,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,682 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 465,682 . The biggest common factor number is the GCF number.
So the greatest common factor 465,682 is 31.

Lets's calculate LCM of 211,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 43677

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/43677

Therefore, the GCF of Fractions 465/211,682/207 is 31/43677

Least Common Multiple of 211,207 with GCF Formula

Least Common Multiple of 211,207 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 211,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,207) = 1

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

GCF(211,207) x common factors =1 x 1 = 1

LCM(211,207) = ( 211 × 207 ) / 1

LCM(211,207) = 43677 / 1

LCM(211,207) = 43677


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 465/211, 682/207

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 465/211, 682/207?

Answer: GCF of Numerators as per given numbers 465/211, 682/207 is

GCF of Numerators i.e. for 465,682 is 31

LCM of denominators i.e. for 211,207 is 43677.

Thus, GCF of Fractions is 31/43677.Finally, GCF of Fractions for 465/211, 682/207 is 31/43677.