How to Find GCF of 6779/275, 8865/3026?

GCF of 6779/275, 8865/3026

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 6779/275, 8865/3026 i.e 1/832150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6779/275, 8865/3026.

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 6779/275,8865/3026?

Given fractions are 6779/275,8865/3026

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 6779/275,8865/3026, numerators are 6779,8865

Denominators are 275,3026

The GCF of 6779,8865 is 1 .

LCM of 275,3026 is 832150.

The greatest common factor of 6779/275,8865/3026 = [GCF of 6779,8865]/[LCM of 275,3026]= 1/832150

Therefore, the GCF of 6779/275,8865/3026 is 1/832150.

Greatest Common Factor of 6779,8865

To find the highest common factor of 6779,8865, we have to find the factors of both numbers and list the highest common factor.

The factors of 6779 are 1, 6779

The factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865

The HCF of 6779,8865 is 1.

Lets's calculate GCF of 6779,8865

Greatest Common Factor (GCF) of 6779,8865 By Common Division

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

Greatest Common Factor of 6779,8865 By Matching Biggest Common Factor Method

Now, list down the factors of 6779

1,6779

Now, list down the factors of 8865

1,3,5,9,15,45,197,591,985,1773,2955,8865

Greatest Common Factor

We found the factors 6779,8865 . The biggest common factor number is the GCF number.
So the greatest common factor 6779,8865 is 1.

Lets's calculate LCM of 275,3026

Lowest Common Multiple of 275,3026 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 832150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832150

Therefore, the GCF of Fractions 6779/275,8865/3026 is 1/832150

Least Common Multiple of 275,3026 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 275,3026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,3026) = 1

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

GCF(275,3026) x common factors =1 x 1 = 1

LCM(275,3026) = ( 275 × 3026 ) / 1

LCM(275,3026) = 832150 / 1

LCM(275,3026) = 832150

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FAQs on GCF of Fractions of 6779/275, 8865/3026

1. What is the HCF of 6779,8865?

The HCF of 6779,8865 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 6779/275, 8865/3026?

Answer: GCF of Numerators as per given numbers 6779/275, 8865/3026 is

GCF of Numerators i.e. for 6779,8865 is 1

LCM of denominators i.e. for 275,3026 is 832150.

Thus, GCF of Fractions is 1/832150.Finally, GCF of Fractions for 6779/275, 8865/3026 is 1/832150.