How to Find GCF of 3921/522, 1654/8484?

GCF of 3921/522, 1654/8484

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 3921/522, 1654/8484 i.e 1/738108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3921/522, 1654/8484.

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 3921/522,1654/8484?

Given fractions are 3921/522,1654/8484

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 3921/522,1654/8484, numerators are 3921,1654

Denominators are 522,8484

The GCF of 3921,1654 is 1 .

LCM of 522,8484 is 738108.

The greatest common factor of 3921/522,1654/8484 = [GCF of 3921,1654]/[LCM of 522,8484]= 1/738108

Therefore, the GCF of 3921/522,1654/8484 is 1/738108.

Greatest Common Factor of 3921,1654

To find the highest common factor of 3921,1654, we have to find the factors of both numbers and list the highest common factor.

The factors of 3921 are 1, 3, 1307, 3921

The factors of 1654 are 1, 2, 827, 1654

The HCF of 3921,1654 is 1.

Lets's calculate GCF of 3921,1654

Greatest Common Factor (GCF) of 3921,1654 By Common Division

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

Greatest Common Factor of 3921,1654 By Matching Biggest Common Factor Method

Now, list down the factors of 3921

1,3,1307,3921

Now, list down the factors of 1654

1,2,827,1654

Greatest Common Factor

We found the factors 3921,1654 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,1654 is 1.

Lets's calculate LCM of 522,8484

Lowest Common Multiple of 522,8484 using Common Division

2	522, 8484
3	261, 4242
	87, 1414

∴ So the LCM of the given numbers is 2 x 3 x 87 x 1414 = 738108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738108

Therefore, the GCF of Fractions 3921/522,1654/8484 is 1/738108

Least Common Multiple of 522,8484 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 522,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,8484) = 6

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

GCF(522,8484) x common factors =6 x 1 = 6

LCM(522,8484) = ( 522 × 8484 ) / 6

LCM(522,8484) = 4428648 / 6

LCM(522,8484) = 738108

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FAQs on GCF of Fractions of 3921/522, 1654/8484

1. What is the HCF of 3921,1654?

The HCF of 3921,1654 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 3921/522, 1654/8484?

Answer: GCF of Numerators as per given numbers 3921/522, 1654/8484 is

GCF of Numerators i.e. for 3921,1654 is 1

LCM of denominators i.e. for 522,8484 is 738108.

Thus, GCF of Fractions is 1/738108.Finally, GCF of Fractions for 3921/522, 1654/8484 is 1/738108.