How to Find GCF of 887/780, 2416/2249?

GCF of 887/780, 2416/2249

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 887/780, 2416/2249 i.e 1/134940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/780, 2416/2249.

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 887/780,2416/2249?

Given fractions are 887/780,2416/2249

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 887/780,2416/2249, numerators are 887,2416

Denominators are 780,2249

The GCF of 887,2416 is 1 .

LCM of 780,2249 is 134940.

The greatest common factor of 887/780,2416/2249 = [GCF of 887,2416]/[LCM of 780,2249]= 1/134940

Therefore, the GCF of 887/780,2416/2249 is 1/134940.

Greatest Common Factor of 887,2416

To find the highest common factor of 887,2416, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

The factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

The HCF of 887,2416 is 1.

Lets's calculate GCF of 887,2416

Greatest Common Factor (GCF) of 887,2416 By Common Division

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

Greatest Common Factor of 887,2416 By Matching Biggest Common Factor Method

Now, list down the factors of 887

1,887

Now, list down the factors of 2416

1,2,4,8,16,151,302,604,1208,2416

Greatest Common Factor

We found the factors 887,2416 . The biggest common factor number is the GCF number.
So the greatest common factor 887,2416 is 1.

Lets's calculate LCM of 780,2249

Lowest Common Multiple of 780,2249 using Common Division

13	780, 2249
	60, 173

∴ So the LCM of the given numbers is 13 x 60 x 173 = 134940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134940

Therefore, the GCF of Fractions 887/780,2416/2249 is 1/134940

Least Common Multiple of 780,2249 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 780,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,2249) = 13

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

GCF(780,2249) x common factors =13 x 1 = 13

LCM(780,2249) = ( 780 × 2249 ) / 13

LCM(780,2249) = 1754220 / 13

LCM(780,2249) = 134940

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FAQs on GCF of Fractions of 887/780, 2416/2249

1. What is the HCF of 887,2416?

The HCF of 887,2416 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 887/780, 2416/2249?

Answer: GCF of Numerators as per given numbers 887/780, 2416/2249 is

GCF of Numerators i.e. for 887,2416 is 1

LCM of denominators i.e. for 780,2249 is 134940.

Thus, GCF of Fractions is 1/134940.Finally, GCF of Fractions for 887/780, 2416/2249 is 1/134940.