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GCF of 3776/659, 5731/205

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 3776/659, 5731/205 i.e 1/135095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3776/659, 5731/205.

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 3776/659,5731/205?

Given fractions are 3776/659,5731/205

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 3776/659,5731/205, numerators are 3776,5731

Denominators are 659,205

The GCF of 3776,5731 is 1 .

LCM of 659,205 is 135095.

The greatest common factor of 3776/659,5731/205 = [GCF of 3776,5731]/[LCM of 659,205]= 1/135095

Therefore, the GCF of 3776/659,5731/205 is 1/135095.

Greatest Common Factor of 3776,5731

To find the highest common factor of 3776,5731, we have to find the factors of both numbers and list the highest common factor.

The factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776

The factors of 5731 are 1, 11, 521, 5731

The HCF of 3776,5731 is 1.

Lets's calculate GCF of 3776,5731

Greatest Common Factor (GCF) of 3776,5731 By Common Division

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

Greatest Common Factor of 3776,5731 By Matching Biggest Common Factor Method

Greatest Common Factor of 3776,5731 By Matching Biggest Common Factor Method

Now, list down the factors of 3776

:

1,2,4,8,16,32,59,64,118,236,472,944,1888,3776

Now, list down the factors of 5731

:

1,11,521,5731

Greatest Common Factor

We found the factors 3776,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 3776,5731 is 1.


Lets's calculate LCM of 659,205

Lowest Common Multiple of 659,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 135095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135095

Therefore, the GCF of Fractions 3776/659,5731/205 is 1/135095

Least Common Multiple of 659,205 with GCF Formula

Least Common Multiple of 659,205 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 659,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,205) = 1

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

GCF(659,205) x common factors =1 x 1 = 1

LCM(659,205) = ( 659 × 205 ) / 1

LCM(659,205) = 135095 / 1

LCM(659,205) = 135095


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3776/659, 5731/205

1. What is the HCF of 3776,5731?

The HCF of 3776,5731 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 3776/659, 5731/205?

Answer: GCF of Numerators as per given numbers 3776/659, 5731/205 is

GCF of Numerators i.e. for 3776,5731 is 1

LCM of denominators i.e. for 659,205 is 135095.

Thus, GCF of Fractions is 1/135095.Finally, GCF of Fractions for 3776/659, 5731/205 is 1/135095.