How to Find GCF of 2992/755, 3836/287?

GCF of 2992/755, 3836/287

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 2992/755, 3836/287 i.e 4/216685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2992/755, 3836/287.

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 2992/755,3836/287?

Given fractions are 2992/755,3836/287

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 2992/755,3836/287, numerators are 2992,3836

Denominators are 755,287

The GCF of 2992,3836 is 4 .

LCM of 755,287 is 216685.

The greatest common factor of 2992/755,3836/287 = [GCF of 2992,3836]/[LCM of 755,287]= 4/216685

Therefore, the GCF of 2992/755,3836/287 is 4/216685.

Greatest Common Factor of 2992,3836

To find the highest common factor of 2992,3836, we have to find the factors of both numbers and list the highest common factor.

The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

The factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836

The HCF of 2992,3836 is 4.

Lets's calculate GCF of 2992,3836

Greatest Common Factor (GCF) of 2992,3836 By Common Division

2	2992, 3836
2	1496, 1918
	748, 959

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2992,3836 By Matching Biggest Common Factor Method

Now, list down the factors of 2992

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Now, list down the factors of 3836

1,2,4,7,14,28,137,274,548,959,1918,3836

Greatest Common Factor

We found the factors 2992,3836 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,3836 is 4.

Lets's calculate LCM of 755,287

Lowest Common Multiple of 755,287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 216685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/216685

Therefore, the GCF of Fractions 2992/755,3836/287 is 4/216685

Least Common Multiple of 755,287 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 755,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,287) = 1

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

GCF(755,287) x common factors =1 x 1 = 1

LCM(755,287) = ( 755 × 287 ) / 1

LCM(755,287) = 216685 / 1

LCM(755,287) = 216685

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FAQs on GCF of Fractions of 2992/755, 3836/287

1. What is the HCF of 2992,3836?

The HCF of 2992,3836 is 4

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 2992/755, 3836/287?

Answer: GCF of Numerators as per given numbers 2992/755, 3836/287 is

GCF of Numerators i.e. for 2992,3836 is 4

LCM of denominators i.e. for 755,287 is 216685.

Thus, GCF of Fractions is 4/216685.Finally, GCF of Fractions for 2992/755, 3836/287 is 4/216685.