Greatest Common Factor of 712/447, 8442/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/447, 8442/815

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 712/447,8442/815

Given fractions are 712/447,8442/815

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 712,8442

Greatest Common Factor of Numerators i.e. GCF of 712,8442 is 2 .

LCM of Denominators means LCM of 447,815 as per the given fractions.

LCM of 447,815 is 364305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,8442

GCF of Fractions 712/447,8442/815 is 2/364305

2 712, 8442
356, 4221

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 712,8442 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,8442 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442

Greatest Common Factor

We found the factors 712,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 712,8442 is 2.

Lets's calculate LCM of 447,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 364305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364305

Therefore, the GCF of Fractions 712/447,8442/815 is 2/364305

Least Common Multiple of 447,815 with GCF Formula

Least Common Multiple of 447,815 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 447,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,815) = 1

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

GCF(447,815) x common factors =1 x 1 = 1

LCM(447,815) = ( 447 × 815 ) / 1

LCM(447,815) = 364305 / 1

LCM(447,815) = 364305


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 712/447, 8442/815

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 712/447, 8442/815?

Answer: GCF of Numerators as per given numbers 712/447, 8442/815 is

GCF of Numerators i.e. for 712,8442 is 2

LCM of denominators i.e. for 447,815 is 364305.

Thus, GCF of Fractions is 2/364305.Finally, GCF of Fractions for 712/447, 8442/815 is 2/364305.