How to Find GCF of 9326/844, 1543/3152?

GCF of 9326/844, 1543/3152

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 9326/844, 1543/3152 i.e 1/665072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9326/844, 1543/3152.

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 9326/844,1543/3152?

Given fractions are 9326/844,1543/3152

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 9326/844,1543/3152, numerators are 9326,1543

Denominators are 844,3152

The GCF of 9326,1543 is 1 .

LCM of 844,3152 is 665072.

The greatest common factor of 9326/844,1543/3152 = [GCF of 9326,1543]/[LCM of 844,3152]= 1/665072

Therefore, the GCF of 9326/844,1543/3152 is 1/665072.

Greatest Common Factor of 9326,1543

To find the highest common factor of 9326,1543, we have to find the factors of both numbers and list the highest common factor.

The factors of 9326 are 1, 2, 4663, 9326

The factors of 1543 are 1, 1543

The HCF of 9326,1543 is 1.

Lets's calculate GCF of 9326,1543

Greatest Common Factor (GCF) of 9326,1543 By Common Division

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

Greatest Common Factor of 9326,1543 By Matching Biggest Common Factor Method

Now, list down the factors of 9326

1,2,4663,9326

Now, list down the factors of 1543

1,1543

Greatest Common Factor

We found the factors 9326,1543 . The biggest common factor number is the GCF number.
So the greatest common factor 9326,1543 is 1.

Lets's calculate LCM of 844,3152

Lowest Common Multiple of 844,3152 using Common Division

2	844, 3152
2	422, 1576
	211, 788

∴ So the LCM of the given numbers is 2 x 2 x 211 x 788 = 665072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665072

Therefore, the GCF of Fractions 9326/844,1543/3152 is 1/665072

Least Common Multiple of 844,3152 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 844,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,3152) = 4

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

GCF(844,3152) x common factors =4 x 1 = 4

LCM(844,3152) = ( 844 × 3152 ) / 4

LCM(844,3152) = 2660288 / 4

LCM(844,3152) = 665072

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FAQs on GCF of Fractions of 9326/844, 1543/3152

1. What is the HCF of 9326,1543?

The HCF of 9326,1543 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 9326/844, 1543/3152?

Answer: GCF of Numerators as per given numbers 9326/844, 1543/3152 is

GCF of Numerators i.e. for 9326,1543 is 1

LCM of denominators i.e. for 844,3152 is 665072.

Thus, GCF of Fractions is 1/665072.Finally, GCF of Fractions for 9326/844, 1543/3152 is 1/665072.