Greatest Common Factor of 640/86, 8442/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/86, 8442/595

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 640/86,8442/595

Given fractions are 640/86,8442/595

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 640,8442

Greatest Common Factor of Numerators i.e. GCF of 640,8442 is 2 .

LCM of Denominators means LCM of 86,595 as per the given fractions.

LCM of 86,595 is 51170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,8442

GCF of Fractions 640/86,8442/595 is 2/51170

2 640, 8442
320, 4221

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

Greatest Common Factor of 640,8442 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,8442 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

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 640,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 640,8442 is 2.

Lets's calculate LCM of 86,595

Given numbers has no common factors except 1. So, there LCM is their product i.e 51170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51170

Therefore, the GCF of Fractions 640/86,8442/595 is 2/51170

Least Common Multiple of 86,595 with GCF Formula

Least Common Multiple of 86,595 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 86,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,595) = 1

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

GCF(86,595) x common factors =1 x 1 = 1

LCM(86,595) = ( 86 × 595 ) / 1

LCM(86,595) = 51170 / 1

LCM(86,595) = 51170


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 640/86, 8442/595

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 640/86, 8442/595?

Answer: GCF of Numerators as per given numbers 640/86, 8442/595 is

GCF of Numerators i.e. for 640,8442 is 2

LCM of denominators i.e. for 86,595 is 51170.

Thus, GCF of Fractions is 2/51170.Finally, GCF of Fractions for 640/86, 8442/595 is 2/51170.