Greatest Common Factor of 715/23, 321/14, 955/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/23, 321/14, 955/705

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 715/23,321/14,955/705

Given fractions are 715/23,321/14,955/705

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 715,321,955

Greatest Common Factor of Numerators i.e. GCF of 715,321,955 is 1 .

LCM of Denominators means LCM of 23,14,705 as per the given fractions.

LCM of 23,14,705 is 227010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,321,955

GCF of Fractions 715/23,321/14,955/705 is 1/227010

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

Greatest Common Factor of 715,321,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,321,955 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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 715,321,955 . The biggest common factor number is the GCF number.
So the greatest common factor 715,321,955 is 1.

Lets's calculate LCM of 23,14,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 227010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227010

Therefore, the GCF of Fractions 715/23,321/14,955/705 is 1/227010

Least Common Multiple of 23,14,705 with GCF Formula

Least Common Multiple of 23,14,705 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 23,14,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,14,705) = 1

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

GCF(23,14,705) x common factors =1 x 1 = 1

LCM(23,14,705) = ( 23 × 14 × 705 ) / 1

LCM(23,14,705) = 227010 / 1

LCM(23,14,705) = 227010


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 715/23, 321/14, 955/705

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 715/23, 321/14, 955/705?

Answer: GCF of Numerators as per given numbers 715/23, 321/14, 955/705 is

GCF of Numerators i.e. for 715,321,955 is 1

LCM of denominators i.e. for 23,14,705 is 227010.

Thus, GCF of Fractions is 1/227010.Finally, GCF of Fractions for 715/23, 321/14, 955/705 is 1/227010.