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GCF of 640/289, 118/378

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 640/289, 118/378 i.e 2/109242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/289, 118/378.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 640/289,118/378?

Given fractions are 640/289,118/378

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 640/289,118/378, numerators are 640,118

Denominators are 289,378

The GCF of 640,118 is 2 .

LCM of 289,378 is 109242.

The greatest common factor of 640/289,118/378 = [GCF of 640,118]/[LCM of 289,378]= 2/109242

Therefore, the GCF of 640/289,118/378 is 2/109242.

Greatest Common Factor of 640,118

To find the highest common factor of 640,118, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 118 are 1, 2, 59, 118

The HCF of 640,118 is 2.

Lets's calculate GCF of 640,118

Greatest Common Factor (GCF) of 640,118 By Common Division

2 640, 118
320, 59

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

Greatest Common Factor of 640,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,118 By Matching Biggest Common Factor Method

Now, list down the factors of 640

:

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

Now, list down the factors of 118

:

1,2,59,118

Greatest Common Factor

We found the factors 640,118 . The biggest common factor number is the GCF number.
So the greatest common factor 640,118 is 2.

Lets's calculate LCM of 289,378

Lowest Common Multiple of 289,378 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 109242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109242

Therefore, the GCF of Fractions 640/289,118/378 is 2/109242

Least Common Multiple of 289,378 with GCF Formula

Least Common Multiple of 289,378 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 289,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,378) = 1

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

GCF(289,378) x common factors =1 x 1 = 1

LCM(289,378) = ( 289 × 378 ) / 1

LCM(289,378) = 109242 / 1

LCM(289,378) = 109242


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FAQs on GCF of Fractions of 640/289, 118/378

1. What is the HCF of 640,118?

The HCF of 640,118 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 640/289, 118/378?

Answer: GCF of Numerators as per given numbers 640/289, 118/378 is

GCF of Numerators i.e. for 640,118 is 2

LCM of denominators i.e. for 289,378 is 109242.

Thus, GCF of Fractions is 2/109242.Finally, GCF of Fractions for 640/289, 118/378 is 2/109242.