How to Find GCF of 6562/207, 3968/851?

GCF of 6562/207, 3968/851

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 6562/207, 3968/851 i.e 2/7659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6562/207, 3968/851.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6562/207,3968/851?

Given fractions are 6562/207,3968/851

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 6562/207,3968/851, numerators are 6562,3968

Denominators are 207,851

The GCF of 6562,3968 is 2 .

LCM of 207,851 is 7659.

The greatest common factor of 6562/207,3968/851 = [GCF of 6562,3968]/[LCM of 207,851]= 2/7659

Therefore, the GCF of 6562/207,3968/851 is 2/7659.

Greatest Common Factor of 6562,3968

To find the highest common factor of 6562,3968, we have to find the factors of both numbers and list the highest common factor.

The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562

The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968

The HCF of 6562,3968 is 2.

Lets's calculate GCF of 6562,3968

Greatest Common Factor (GCF) of 6562,3968 By Common Division

2	6562, 3968
	3281, 1984

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

Greatest Common Factor of 6562,3968 By Matching Biggest Common Factor Method

Now, list down the factors of 6562

1,2,17,34,193,386,3281,6562

Now, list down the factors of 3968

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Greatest Common Factor

We found the factors 6562,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 6562,3968 is 2.

Lets's calculate LCM of 207,851

Lowest Common Multiple of 207,851 using Common Division

23	207, 851
	9, 37

∴ So the LCM of the given numbers is 23 x 9 x 37 = 7659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7659

Therefore, the GCF of Fractions 6562/207,3968/851 is 2/7659

Least Common Multiple of 207,851 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 207,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,851) = 23

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

GCF(207,851) x common factors =23 x 1 = 23

LCM(207,851) = ( 207 × 851 ) / 23

LCM(207,851) = 176157 / 23

LCM(207,851) = 7659

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FAQs on GCF of Fractions of 6562/207, 3968/851

1. What is the HCF of 6562,3968?

The HCF of 6562,3968 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 6562/207, 3968/851?

Answer: GCF of Numerators as per given numbers 6562/207, 3968/851 is

GCF of Numerators i.e. for 6562,3968 is 2

LCM of denominators i.e. for 207,851 is 7659.

Thus, GCF of Fractions is 2/7659.Finally, GCF of Fractions for 6562/207, 3968/851 is 2/7659.