How to Find GCF of 6237/912, 2560/492?

GCF of 6237/912, 2560/492

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 6237/912, 2560/492 i.e 1/37392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/912, 2560/492.

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 6237/912,2560/492?

Given fractions are 6237/912,2560/492

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 6237/912,2560/492, numerators are 6237,2560

Denominators are 912,492

The GCF of 6237,2560 is 1 .

LCM of 912,492 is 37392.

The greatest common factor of 6237/912,2560/492 = [GCF of 6237,2560]/[LCM of 912,492]= 1/37392

Therefore, the GCF of 6237/912,2560/492 is 1/37392.

Greatest Common Factor of 6237,2560

To find the highest common factor of 6237,2560, we have to find the factors of both numbers and list the highest common factor.

The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237

The factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560

The HCF of 6237,2560 is 1.

Lets's calculate GCF of 6237,2560

Greatest Common Factor (GCF) of 6237,2560 By Common Division

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

Greatest Common Factor of 6237,2560 By Matching Biggest Common Factor Method

Now, list down the factors of 6237

1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237

Now, list down the factors of 2560

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560

Greatest Common Factor

We found the factors 6237,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,2560 is 1.

Lets's calculate LCM of 912,492

Lowest Common Multiple of 912,492 using Common Division

2	912, 492
2	456, 246
3	228, 123
	76, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 76 x 41 = 37392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37392

Therefore, the GCF of Fractions 6237/912,2560/492 is 1/37392

Least Common Multiple of 912,492 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 912,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,492) = 12

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

GCF(912,492) x common factors =12 x 1 = 12

LCM(912,492) = ( 912 × 492 ) / 12

LCM(912,492) = 448704 / 12

LCM(912,492) = 37392

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FAQs on GCF of Fractions of 6237/912, 2560/492

1. What is the HCF of 6237,2560?

The HCF of 6237,2560 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 6237/912, 2560/492?

Answer: GCF of Numerators as per given numbers 6237/912, 2560/492 is

GCF of Numerators i.e. for 6237,2560 is 1

LCM of denominators i.e. for 912,492 is 37392.

Thus, GCF of Fractions is 1/37392.Finally, GCF of Fractions for 6237/912, 2560/492 is 1/37392.