How to Find GCF of 7717/622, 8789/1026?

GCF of 7717/622, 8789/1026

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 7717/622, 8789/1026 i.e 1/319086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7717/622, 8789/1026.

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 7717/622,8789/1026?

Given fractions are 7717/622,8789/1026

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 7717/622,8789/1026, numerators are 7717,8789

Denominators are 622,1026

The GCF of 7717,8789 is 1 .

LCM of 622,1026 is 319086.

The greatest common factor of 7717/622,8789/1026 = [GCF of 7717,8789]/[LCM of 622,1026]= 1/319086

Therefore, the GCF of 7717/622,8789/1026 is 1/319086.

Greatest Common Factor of 7717,8789

To find the highest common factor of 7717,8789, we have to find the factors of both numbers and list the highest common factor.

The factors of 7717 are 1, 7717

The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789

The HCF of 7717,8789 is 1.

Lets's calculate GCF of 7717,8789

Greatest Common Factor (GCF) of 7717,8789 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7717,8789 By Matching Biggest Common Factor Method

Now, list down the factors of 7717

1,7717

Now, list down the factors of 8789

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 7717,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 7717,8789 is 1.

Lets's calculate LCM of 622,1026

Lowest Common Multiple of 622,1026 using Common Division

2	622, 1026
	311, 513

∴ So the LCM of the given numbers is 2 x 311 x 513 = 319086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319086

Therefore, the GCF of Fractions 7717/622,8789/1026 is 1/319086

Least Common Multiple of 622,1026 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 622,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,1026) = 2

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

GCF(622,1026) x common factors =2 x 1 = 2

LCM(622,1026) = ( 622 × 1026 ) / 2

LCM(622,1026) = 638172 / 2

LCM(622,1026) = 319086

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FAQs on GCF of Fractions of 7717/622, 8789/1026

1. What is the HCF of 7717,8789?

The HCF of 7717,8789 is 1

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 7717/622, 8789/1026?

Answer: GCF of Numerators as per given numbers 7717/622, 8789/1026 is

GCF of Numerators i.e. for 7717,8789 is 1

LCM of denominators i.e. for 622,1026 is 319086.

Thus, GCF of Fractions is 1/319086.Finally, GCF of Fractions for 7717/622, 8789/1026 is 1/319086.