Greatest Common Factor of 240/810, 705/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/810, 705/251

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 240/810,705/251

Given fractions are 240/810,705/251

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 240,705

Greatest Common Factor of Numerators i.e. GCF of 240,705 is 15 .

LCM of Denominators means LCM of 810,251 as per the given fractions.

LCM of 810,251 is 203310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,705

GCF of Fractions 240/810,705/251 is 15/203310

3 240, 705
5 80, 235
16, 47

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 240,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,705 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 240,705 . The biggest common factor number is the GCF number.
So the greatest common factor 240,705 is 15.

Lets's calculate LCM of 810,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 203310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/203310

Therefore, the GCF of Fractions 240/810,705/251 is 15/203310

Least Common Multiple of 810,251 with GCF Formula

Least Common Multiple of 810,251 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 810,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,251) = 1

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

GCF(810,251) x common factors =1 x 1 = 1

LCM(810,251) = ( 810 × 251 ) / 1

LCM(810,251) = 203310 / 1

LCM(810,251) = 203310


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 240/810, 705/251

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 240/810, 705/251?

Answer: GCF of Numerators as per given numbers 240/810, 705/251 is

GCF of Numerators i.e. for 240,705 is 15

LCM of denominators i.e. for 810,251 is 203310.

Thus, GCF of Fractions is 15/203310.Finally, GCF of Fractions for 240/810, 705/251 is 15/203310.