How to Find GCF of 5960/271, 2592/6847?

GCF of 5960/271, 2592/6847

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 5960/271, 2592/6847 i.e 8/1855537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5960/271, 2592/6847.

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 5960/271,2592/6847?

Given fractions are 5960/271,2592/6847

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 5960/271,2592/6847, numerators are 5960,2592

Denominators are 271,6847

The GCF of 5960,2592 is 8 .

LCM of 271,6847 is 1855537.

The greatest common factor of 5960/271,2592/6847 = [GCF of 5960,2592]/[LCM of 271,6847]= 8/1855537

Therefore, the GCF of 5960/271,2592/6847 is 8/1855537.

Greatest Common Factor of 5960,2592

To find the highest common factor of 5960,2592, we have to find the factors of both numbers and list the highest common factor.

The factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960

The factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592

The HCF of 5960,2592 is 8.

Lets's calculate GCF of 5960,2592

Greatest Common Factor (GCF) of 5960,2592 By Common Division

2	5960, 2592
2	2980, 1296
2	1490, 648
	745, 324

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

Greatest Common Factor of 5960,2592 By Matching Biggest Common Factor Method

Now, list down the factors of 5960

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Now, list down the factors of 2592

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592

Greatest Common Factor

We found the factors 5960,2592 . The biggest common factor number is the GCF number.
So the greatest common factor 5960,2592 is 8.

Lets's calculate LCM of 271,6847

Lowest Common Multiple of 271,6847 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1855537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1855537

Therefore, the GCF of Fractions 5960/271,2592/6847 is 8/1855537

Least Common Multiple of 271,6847 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 271,6847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,6847) = 1

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

GCF(271,6847) x common factors =1 x 1 = 1

LCM(271,6847) = ( 271 × 6847 ) / 1

LCM(271,6847) = 1855537 / 1

LCM(271,6847) = 1855537

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FAQs on GCF of Fractions of 5960/271, 2592/6847

1. What is the HCF of 5960,2592?

The HCF of 5960,2592 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 5960/271, 2592/6847?

Answer: GCF of Numerators as per given numbers 5960/271, 2592/6847 is

GCF of Numerators i.e. for 5960,2592 is 8

LCM of denominators i.e. for 271,6847 is 1855537.

Thus, GCF of Fractions is 8/1855537.Finally, GCF of Fractions for 5960/271, 2592/6847 is 8/1855537.