Greatest Common Factor of 807/82, 434/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/82, 434/211

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 807/82,434/211

Given fractions are 807/82,434/211

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 807,434

Greatest Common Factor of Numerators i.e. GCF of 807,434 is 1 .

LCM of Denominators means LCM of 82,211 as per the given fractions.

LCM of 82,211 is 17302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,434

GCF of Fractions 807/82,434/211 is 1/17302

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

Greatest Common Factor of 807,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,434 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 807,434 . The biggest common factor number is the GCF number.
So the greatest common factor 807,434 is 1.

Lets's calculate LCM of 82,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 17302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17302

Therefore, the GCF of Fractions 807/82,434/211 is 1/17302

Least Common Multiple of 82,211 with GCF Formula

Least Common Multiple of 82,211 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 82,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,211) = 1

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

GCF(82,211) x common factors =1 x 1 = 1

LCM(82,211) = ( 82 × 211 ) / 1

LCM(82,211) = 17302 / 1

LCM(82,211) = 17302


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 807/82, 434/211

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 807/82, 434/211?

Answer: GCF of Numerators as per given numbers 807/82, 434/211 is

GCF of Numerators i.e. for 807,434 is 1

LCM of denominators i.e. for 82,211 is 17302.

Thus, GCF of Fractions is 1/17302.Finally, GCF of Fractions for 807/82, 434/211 is 1/17302.