How to Find GCF of 5491/236, 4390/3854?

GCF of 5491/236, 4390/3854

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 5491/236, 4390/3854 i.e 1/454772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/236, 4390/3854.

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 5491/236,4390/3854?

Given fractions are 5491/236,4390/3854

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 5491/236,4390/3854, numerators are 5491,4390

Denominators are 236,3854

The GCF of 5491,4390 is 1 .

LCM of 236,3854 is 454772.

The greatest common factor of 5491/236,4390/3854 = [GCF of 5491,4390]/[LCM of 236,3854]= 1/454772

Therefore, the GCF of 5491/236,4390/3854 is 1/454772.

Greatest Common Factor of 5491,4390

To find the highest common factor of 5491,4390, we have to find the factors of both numbers and list the highest common factor.

The factors of 5491 are 1, 17, 19, 289, 323, 5491

The factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390

The HCF of 5491,4390 is 1.

Lets's calculate GCF of 5491,4390

Greatest Common Factor (GCF) of 5491,4390 By Common Division

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

Greatest Common Factor of 5491,4390 By Matching Biggest Common Factor Method

Now, list down the factors of 5491

1,17,19,289,323,5491

Now, list down the factors of 4390

1,2,5,10,439,878,2195,4390

Greatest Common Factor

We found the factors 5491,4390 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,4390 is 1.

Lets's calculate LCM of 236,3854

Lowest Common Multiple of 236,3854 using Common Division

2	236, 3854
	118, 1927

∴ So the LCM of the given numbers is 2 x 118 x 1927 = 454772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454772

Therefore, the GCF of Fractions 5491/236,4390/3854 is 1/454772

Least Common Multiple of 236,3854 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 236,3854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,3854) = 2

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

GCF(236,3854) x common factors =2 x 1 = 2

LCM(236,3854) = ( 236 × 3854 ) / 2

LCM(236,3854) = 909544 / 2

LCM(236,3854) = 454772

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FAQs on GCF of Fractions of 5491/236, 4390/3854

1. What is the HCF of 5491,4390?

The HCF of 5491,4390 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 5491/236, 4390/3854?

Answer: GCF of Numerators as per given numbers 5491/236, 4390/3854 is

GCF of Numerators i.e. for 5491,4390 is 1

LCM of denominators i.e. for 236,3854 is 454772.

Thus, GCF of Fractions is 1/454772.Finally, GCF of Fractions for 5491/236, 4390/3854 is 1/454772.