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GCF of 7765/894, 6718/9064

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 7765/894, 6718/9064 i.e 1/4051608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7765/894, 6718/9064.

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 7765/894,6718/9064?

Given fractions are 7765/894,6718/9064

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 7765/894,6718/9064, numerators are 7765,6718

Denominators are 894,9064

The GCF of 7765,6718 is 1 .

LCM of 894,9064 is 4051608.

The greatest common factor of 7765/894,6718/9064 = [GCF of 7765,6718]/[LCM of 894,9064]= 1/4051608

Therefore, the GCF of 7765/894,6718/9064 is 1/4051608.

Greatest Common Factor of 7765,6718

To find the highest common factor of 7765,6718, we have to find the factors of both numbers and list the highest common factor.

The factors of 7765 are 1, 5, 1553, 7765

The factors of 6718 are 1, 2, 3359, 6718

The HCF of 7765,6718 is 1.

Lets's calculate GCF of 7765,6718

Greatest Common Factor (GCF) of 7765,6718 By Common Division

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

Greatest Common Factor of 7765,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 7765,6718 By Matching Biggest Common Factor Method

Now, list down the factors of 7765

:

1,5,1553,7765

Now, list down the factors of 6718

:

1,2,3359,6718

Greatest Common Factor

We found the factors 7765,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 7765,6718 is 1.

Lets's calculate LCM of 894,9064

Lowest Common Multiple of 894,9064 using Common Division

2 894, 9064
447, 4532

∴ So the LCM of the given numbers is 2 x 447 x 4532 = 4051608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4051608

Therefore, the GCF of Fractions 7765/894,6718/9064 is 1/4051608

Least Common Multiple of 894,9064 with GCF Formula

Least Common Multiple of 894,9064 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 894,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,9064) = 2

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

GCF(894,9064) x common factors =2 x 1 = 2

LCM(894,9064) = ( 894 × 9064 ) / 2

LCM(894,9064) = 8103216 / 2

LCM(894,9064) = 4051608


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FAQs on GCF of Fractions of 7765/894, 6718/9064

1. What is the HCF of 7765,6718?

The HCF of 7765,6718 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 7765/894, 6718/9064?

Answer: GCF of Numerators as per given numbers 7765/894, 6718/9064 is

GCF of Numerators i.e. for 7765,6718 is 1

LCM of denominators i.e. for 894,9064 is 4051608.

Thus, GCF of Fractions is 1/4051608.Finally, GCF of Fractions for 7765/894, 6718/9064 is 1/4051608.