Greatest Common Factor of 807/951, 705/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/951, 705/305

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 807/951,705/305

Given fractions are 807/951,705/305

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 807,705

Greatest Common Factor of Numerators i.e. GCF of 807,705 is 3 .

LCM of Denominators means LCM of 951,305 as per the given fractions.

LCM of 951,305 is 290055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,705

GCF of Fractions 807/951,705/305 is 3/290055

3 807, 705
269, 235

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 807,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,705 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 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 807,705 . The biggest common factor number is the GCF number.
So the greatest common factor 807,705 is 3.

Lets's calculate LCM of 951,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 290055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/290055

Therefore, the GCF of Fractions 807/951,705/305 is 3/290055

Least Common Multiple of 951,305 with GCF Formula

Least Common Multiple of 951,305 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 951,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,305) = 1

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

GCF(951,305) x common factors =1 x 1 = 1

LCM(951,305) = ( 951 × 305 ) / 1

LCM(951,305) = 290055 / 1

LCM(951,305) = 290055


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 807/951, 705/305

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 807/951, 705/305?

Answer: GCF of Numerators as per given numbers 807/951, 705/305 is

GCF of Numerators i.e. for 807,705 is 3

LCM of denominators i.e. for 951,305 is 290055.

Thus, GCF of Fractions is 3/290055.Finally, GCF of Fractions for 807/951, 705/305 is 3/290055.