How to Find GCF of 5496/241, 4000/971?

GCF of 5496/241, 4000/971

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 5496/241, 4000/971 i.e 8/234011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5496/241, 4000/971.

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 5496/241,4000/971?

Given fractions are 5496/241,4000/971

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 5496/241,4000/971, numerators are 5496,4000

Denominators are 241,971

The GCF of 5496,4000 is 8 .

LCM of 241,971 is 234011.

The greatest common factor of 5496/241,4000/971 = [GCF of 5496,4000]/[LCM of 241,971]= 8/234011

Therefore, the GCF of 5496/241,4000/971 is 8/234011.

Greatest Common Factor of 5496,4000

To find the highest common factor of 5496,4000, we have to find the factors of both numbers and list the highest common factor.

The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496

The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000

The HCF of 5496,4000 is 8.

Lets's calculate GCF of 5496,4000

Greatest Common Factor (GCF) of 5496,4000 By Common Division

2	5496, 4000
2	2748, 2000
2	1374, 1000
	687, 500

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5496,4000 By Matching Biggest Common Factor Method

Now, list down the factors of 5496

1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496

Now, list down the factors of 4000

1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000

Greatest Common Factor

We found the factors 5496,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 5496,4000 is 8.

Lets's calculate LCM of 241,971

Lowest Common Multiple of 241,971 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 234011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/234011

Therefore, the GCF of Fractions 5496/241,4000/971 is 8/234011

Least Common Multiple of 241,971 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 241,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,971) = 1

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

GCF(241,971) x common factors =1 x 1 = 1

LCM(241,971) = ( 241 × 971 ) / 1

LCM(241,971) = 234011 / 1

LCM(241,971) = 234011

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FAQs on GCF of Fractions of 5496/241, 4000/971

1. What is the HCF of 5496,4000?

The HCF of 5496,4000 is 8

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 5496/241, 4000/971?

Answer: GCF of Numerators as per given numbers 5496/241, 4000/971 is

GCF of Numerators i.e. for 5496,4000 is 8

LCM of denominators i.e. for 241,971 is 234011.

Thus, GCF of Fractions is 8/234011.Finally, GCF of Fractions for 5496/241, 4000/971 is 8/234011.