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GCF of 2917/479, 3827/2445

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 2917/479, 3827/2445 i.e 1/1171155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2917/479, 3827/2445.

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 2917/479,3827/2445?

Given fractions are 2917/479,3827/2445

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 2917/479,3827/2445, numerators are 2917,3827

Denominators are 479,2445

The GCF of 2917,3827 is 1 .

LCM of 479,2445 is 1171155.

The greatest common factor of 2917/479,3827/2445 = [GCF of 2917,3827]/[LCM of 479,2445]= 1/1171155

Therefore, the GCF of 2917/479,3827/2445 is 1/1171155.

Greatest Common Factor of 2917,3827

To find the highest common factor of 2917,3827, we have to find the factors of both numbers and list the highest common factor.

The factors of 2917 are 1, 2917

The factors of 3827 are 1, 43, 89, 3827

The HCF of 2917,3827 is 1.

Lets's calculate GCF of 2917,3827

Greatest Common Factor (GCF) of 2917,3827 By Common Division

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

Greatest Common Factor of 2917,3827 By Matching Biggest Common Factor Method

Greatest Common Factor of 2917,3827 By Matching Biggest Common Factor Method

Now, list down the factors of 2917

:

1,2917

Now, list down the factors of 3827

:

1,43,89,3827

Greatest Common Factor

We found the factors 2917,3827 . The biggest common factor number is the GCF number.
So the greatest common factor 2917,3827 is 1.

Lets's calculate LCM of 479,2445

Lowest Common Multiple of 479,2445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1171155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171155

Therefore, the GCF of Fractions 2917/479,3827/2445 is 1/1171155

Least Common Multiple of 479,2445 with GCF Formula

Least Common Multiple of 479,2445 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 479,2445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,2445) = 1

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

GCF(479,2445) x common factors =1 x 1 = 1

LCM(479,2445) = ( 479 × 2445 ) / 1

LCM(479,2445) = 1171155 / 1

LCM(479,2445) = 1171155


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FAQs on GCF of Fractions of 2917/479, 3827/2445

1. What is the HCF of 2917,3827?

The HCF of 2917,3827 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 2917/479, 3827/2445?

Answer: GCF of Numerators as per given numbers 2917/479, 3827/2445 is

GCF of Numerators i.e. for 2917,3827 is 1

LCM of denominators i.e. for 479,2445 is 1171155.

Thus, GCF of Fractions is 1/1171155.Finally, GCF of Fractions for 2917/479, 3827/2445 is 1/1171155.