Greatest Common Factor of 715/69, 366/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/69, 366/200

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 715/69,366/200

Given fractions are 715/69,366/200

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 715,366

Greatest Common Factor of Numerators i.e. GCF of 715,366 is 1 .

LCM of Denominators means LCM of 69,200 as per the given fractions.

LCM of 69,200 is 13800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,366

GCF of Fractions 715/69,366/200 is 1/13800

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

Greatest Common Factor of 715,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,366 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 715,366 . The biggest common factor number is the GCF number.
So the greatest common factor 715,366 is 1.

Lets's calculate LCM of 69,200

Given numbers has no common factors except 1. So, there LCM is their product i.e 13800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13800

Therefore, the GCF of Fractions 715/69,366/200 is 1/13800

Least Common Multiple of 69,200 with GCF Formula

Least Common Multiple of 69,200 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 69,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,200) = 1

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

GCF(69,200) x common factors =1 x 1 = 1

LCM(69,200) = ( 69 × 200 ) / 1

LCM(69,200) = 13800 / 1

LCM(69,200) = 13800


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 715/69, 366/200

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 715/69, 366/200?

Answer: GCF of Numerators as per given numbers 715/69, 366/200 is

GCF of Numerators i.e. for 715,366 is 1

LCM of denominators i.e. for 69,200 is 13800.

Thus, GCF of Fractions is 1/13800.Finally, GCF of Fractions for 715/69, 366/200 is 1/13800.