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GCF of 206/64, 640/861

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 206/64, 640/861 i.e 2/55104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/64, 640/861.

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 206/64,640/861?

Given fractions are 206/64,640/861

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 206/64,640/861, numerators are 206,640

Denominators are 64,861

The GCF of 206,640 is 2 .

LCM of 64,861 is 55104.

The greatest common factor of 206/64,640/861 = [GCF of 206,640]/[LCM of 64,861]= 2/55104

Therefore, the GCF of 206/64,640/861 is 2/55104.

Greatest Common Factor of 206,640

To find the highest common factor of 206,640, we have to find the factors of both numbers and list the highest common factor.

The factors of 206 are 1, 2, 103, 206

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

The HCF of 206,640 is 2.

Lets's calculate GCF of 206,640

Greatest Common Factor (GCF) of 206,640 By Common Division

2 206, 640
103, 320

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

Greatest Common Factor of 206,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,640 By Matching Biggest Common Factor Method

Now, list down the factors of 206

:

1,2,103,206

Now, list down the factors of 640

:

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

Greatest Common Factor

We found the factors 206,640 . The biggest common factor number is the GCF number.
So the greatest common factor 206,640 is 2.

Lets's calculate LCM of 64,861

Lowest Common Multiple of 64,861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55104

Therefore, the GCF of Fractions 206/64,640/861 is 2/55104

Least Common Multiple of 64,861 with GCF Formula

Least Common Multiple of 64,861 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 64,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,861) = 1

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

GCF(64,861) x common factors =1 x 1 = 1

LCM(64,861) = ( 64 × 861 ) / 1

LCM(64,861) = 55104 / 1

LCM(64,861) = 55104


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FAQs on GCF of Fractions of 206/64, 640/861

1. What is the HCF of 206,640?

The HCF of 206,640 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 206/64, 640/861?

Answer: GCF of Numerators as per given numbers 206/64, 640/861 is

GCF of Numerators i.e. for 206,640 is 2

LCM of denominators i.e. for 64,861 is 55104.

Thus, GCF of Fractions is 2/55104.Finally, GCF of Fractions for 206/64, 640/861 is 2/55104.