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GCF of 3691/486, 3994/3598

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 3691/486, 3994/3598 i.e 1/874314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3691/486, 3994/3598.

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 3691/486,3994/3598?

Given fractions are 3691/486,3994/3598

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 3691/486,3994/3598, numerators are 3691,3994

Denominators are 486,3598

The GCF of 3691,3994 is 1 .

LCM of 486,3598 is 874314.

The greatest common factor of 3691/486,3994/3598 = [GCF of 3691,3994]/[LCM of 486,3598]= 1/874314

Therefore, the GCF of 3691/486,3994/3598 is 1/874314.

Greatest Common Factor of 3691,3994

To find the highest common factor of 3691,3994, we have to find the factors of both numbers and list the highest common factor.

The factors of 3691 are 1, 3691

The factors of 3994 are 1, 2, 1997, 3994

The HCF of 3691,3994 is 1.

Lets's calculate GCF of 3691,3994

Greatest Common Factor (GCF) of 3691,3994 By Common Division

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

Greatest Common Factor of 3691,3994 By Matching Biggest Common Factor Method

Greatest Common Factor of 3691,3994 By Matching Biggest Common Factor Method

Now, list down the factors of 3691

:

1,3691

Now, list down the factors of 3994

:

1,2,1997,3994

Greatest Common Factor

We found the factors 3691,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 3691,3994 is 1.

Lets's calculate LCM of 486,3598

Lowest Common Multiple of 486,3598 using Common Division

2 486, 3598
243, 1799

∴ So the LCM of the given numbers is 2 x 243 x 1799 = 874314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874314

Therefore, the GCF of Fractions 3691/486,3994/3598 is 1/874314

Least Common Multiple of 486,3598 with GCF Formula

Least Common Multiple of 486,3598 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 486,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,3598) = 2

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

GCF(486,3598) x common factors =2 x 1 = 2

LCM(486,3598) = ( 486 × 3598 ) / 2

LCM(486,3598) = 1748628 / 2

LCM(486,3598) = 874314


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FAQs on GCF of Fractions of 3691/486, 3994/3598

1. What is the HCF of 3691,3994?

The HCF of 3691,3994 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 3691/486, 3994/3598?

Answer: GCF of Numerators as per given numbers 3691/486, 3994/3598 is

GCF of Numerators i.e. for 3691,3994 is 1

LCM of denominators i.e. for 486,3598 is 874314.

Thus, GCF of Fractions is 1/874314.Finally, GCF of Fractions for 3691/486, 3994/3598 is 1/874314.