How to Find GCF of 7688/722, 2568/6165?

GCF of 7688/722, 2568/6165

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 7688/722, 2568/6165 i.e 8/4451130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/722, 2568/6165.

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 7688/722,2568/6165?

Given fractions are 7688/722,2568/6165

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 7688/722,2568/6165, numerators are 7688,2568

Denominators are 722,6165

The GCF of 7688,2568 is 8 .

LCM of 722,6165 is 4451130.

The greatest common factor of 7688/722,2568/6165 = [GCF of 7688,2568]/[LCM of 722,6165]= 8/4451130

Therefore, the GCF of 7688/722,2568/6165 is 8/4451130.

Greatest Common Factor of 7688,2568

To find the highest common factor of 7688,2568, we have to find the factors of both numbers and list the highest common factor.

The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568

The HCF of 7688,2568 is 8.

Lets's calculate GCF of 7688,2568

Greatest Common Factor (GCF) of 7688,2568 By Common Division

2	7688, 2568
2	3844, 1284
2	1922, 642
	961, 321

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7688,2568 By Matching Biggest Common Factor Method

Now, list down the factors of 7688

1,2,4,8,31,62,124,248,961,1922,3844,7688

Now, list down the factors of 2568

1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568

Greatest Common Factor

We found the factors 7688,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,2568 is 8.

Lets's calculate LCM of 722,6165

Lowest Common Multiple of 722,6165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4451130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4451130

Therefore, the GCF of Fractions 7688/722,2568/6165 is 8/4451130

Least Common Multiple of 722,6165 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 722,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,6165) = 1

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

GCF(722,6165) x common factors =1 x 1 = 1

LCM(722,6165) = ( 722 × 6165 ) / 1

LCM(722,6165) = 4451130 / 1

LCM(722,6165) = 4451130

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7688/722, 2568/6165

1. What is the HCF of 7688,2568?

The HCF of 7688,2568 is 8

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 7688/722, 2568/6165?

Answer: GCF of Numerators as per given numbers 7688/722, 2568/6165 is

GCF of Numerators i.e. for 7688,2568 is 8

LCM of denominators i.e. for 722,6165 is 4451130.

Thus, GCF of Fractions is 8/4451130.Finally, GCF of Fractions for 7688/722, 2568/6165 is 8/4451130.