How to Find GCF of 3951/164, 5458/8284?

GCF of 3951/164, 5458/8284

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 3951/164, 5458/8284 i.e 1/339644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3951/164, 5458/8284.

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 3951/164,5458/8284?

Given fractions are 3951/164,5458/8284

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 3951/164,5458/8284, numerators are 3951,5458

Denominators are 164,8284

The GCF of 3951,5458 is 1 .

LCM of 164,8284 is 339644.

The greatest common factor of 3951/164,5458/8284 = [GCF of 3951,5458]/[LCM of 164,8284]= 1/339644

Therefore, the GCF of 3951/164,5458/8284 is 1/339644.

Greatest Common Factor of 3951,5458

To find the highest common factor of 3951,5458, we have to find the factors of both numbers and list the highest common factor.

The factors of 3951 are 1, 3, 9, 439, 1317, 3951

The factors of 5458 are 1, 2, 2729, 5458

The HCF of 3951,5458 is 1.

Lets's calculate GCF of 3951,5458

Greatest Common Factor (GCF) of 3951,5458 By Common Division

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

Greatest Common Factor of 3951,5458 By Matching Biggest Common Factor Method

Now, list down the factors of 3951

1,3,9,439,1317,3951

Now, list down the factors of 5458

1,2,2729,5458

Greatest Common Factor

We found the factors 3951,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 3951,5458 is 1.

Lets's calculate LCM of 164,8284

Lowest Common Multiple of 164,8284 using Common Division

2	164, 8284
2	82, 4142
	41, 2071

∴ So the LCM of the given numbers is 2 x 2 x 41 x 2071 = 339644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339644

Therefore, the GCF of Fractions 3951/164,5458/8284 is 1/339644

Least Common Multiple of 164,8284 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 164,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,8284) = 4

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

GCF(164,8284) x common factors =4 x 1 = 4

LCM(164,8284) = ( 164 × 8284 ) / 4

LCM(164,8284) = 1358576 / 4

LCM(164,8284) = 339644

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FAQs on GCF of Fractions of 3951/164, 5458/8284

1. What is the HCF of 3951,5458?

The HCF of 3951,5458 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 3951/164, 5458/8284?

Answer: GCF of Numerators as per given numbers 3951/164, 5458/8284 is

GCF of Numerators i.e. for 3951,5458 is 1

LCM of denominators i.e. for 164,8284 is 339644.

Thus, GCF of Fractions is 1/339644.Finally, GCF of Fractions for 3951/164, 5458/8284 is 1/339644.