How to Find GCF of 9461/332, 5825/1884?

GCF of 9461/332, 5825/1884

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 9461/332, 5825/1884 i.e 1/156372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9461/332, 5825/1884.

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 9461/332,5825/1884?

Given fractions are 9461/332,5825/1884

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 9461/332,5825/1884, numerators are 9461,5825

Denominators are 332,1884

The GCF of 9461,5825 is 1 .

LCM of 332,1884 is 156372.

The greatest common factor of 9461/332,5825/1884 = [GCF of 9461,5825]/[LCM of 332,1884]= 1/156372

Therefore, the GCF of 9461/332,5825/1884 is 1/156372.

Greatest Common Factor of 9461,5825

To find the highest common factor of 9461,5825, we have to find the factors of both numbers and list the highest common factor.

The factors of 9461 are 1, 9461

The factors of 5825 are 1, 5, 25, 233, 1165, 5825

The HCF of 9461,5825 is 1.

Lets's calculate GCF of 9461,5825

Greatest Common Factor (GCF) of 9461,5825 By Common Division

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

Greatest Common Factor of 9461,5825 By Matching Biggest Common Factor Method

Now, list down the factors of 9461

1,9461

Now, list down the factors of 5825

1,5,25,233,1165,5825

Greatest Common Factor

We found the factors 9461,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,5825 is 1.

Lets's calculate LCM of 332,1884

Lowest Common Multiple of 332,1884 using Common Division

2	332, 1884
2	166, 942
	83, 471

∴ So the LCM of the given numbers is 2 x 2 x 83 x 471 = 156372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156372

Therefore, the GCF of Fractions 9461/332,5825/1884 is 1/156372

Least Common Multiple of 332,1884 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 332,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,1884) = 4

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

GCF(332,1884) x common factors =4 x 1 = 4

LCM(332,1884) = ( 332 × 1884 ) / 4

LCM(332,1884) = 625488 / 4

LCM(332,1884) = 156372

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FAQs on GCF of Fractions of 9461/332, 5825/1884

1. What is the HCF of 9461,5825?

The HCF of 9461,5825 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 9461/332, 5825/1884?

Answer: GCF of Numerators as per given numbers 9461/332, 5825/1884 is

GCF of Numerators i.e. for 9461,5825 is 1

LCM of denominators i.e. for 332,1884 is 156372.

Thus, GCF of Fractions is 1/156372.Finally, GCF of Fractions for 9461/332, 5825/1884 is 1/156372.