How to Find GCF of 5885/444, 8833/2951?

GCF of 5885/444, 8833/2951

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 5885/444, 8833/2951 i.e 11/1310244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5885/444, 8833/2951.

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 5885/444,8833/2951?

Given fractions are 5885/444,8833/2951

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 5885/444,8833/2951, numerators are 5885,8833

Denominators are 444,2951

The GCF of 5885,8833 is 11 .

LCM of 444,2951 is 1310244.

The greatest common factor of 5885/444,8833/2951 = [GCF of 5885,8833]/[LCM of 444,2951]= 11/1310244

Therefore, the GCF of 5885/444,8833/2951 is 11/1310244.

Greatest Common Factor of 5885,8833

To find the highest common factor of 5885,8833, we have to find the factors of both numbers and list the highest common factor.

The factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885

The factors of 8833 are 1, 11, 73, 121, 803, 8833

The HCF of 5885,8833 is 11.

Lets's calculate GCF of 5885,8833

Greatest Common Factor (GCF) of 5885,8833 By Common Division

11	5885, 8833
	535, 803

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5885,8833 By Matching Biggest Common Factor Method

Now, list down the factors of 5885

1,5,11,55,107,535,1177,5885

Now, list down the factors of 8833

1,11,73,121,803,8833

Greatest Common Factor

We found the factors 5885,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 5885,8833 is 11.

Lets's calculate LCM of 444,2951

Lowest Common Multiple of 444,2951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1310244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1310244

Therefore, the GCF of Fractions 5885/444,8833/2951 is 11/1310244

Least Common Multiple of 444,2951 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 444,2951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,2951) = 1

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

GCF(444,2951) x common factors =1 x 1 = 1

LCM(444,2951) = ( 444 × 2951 ) / 1

LCM(444,2951) = 1310244 / 1

LCM(444,2951) = 1310244

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FAQs on GCF of Fractions of 5885/444, 8833/2951

1. What is the HCF of 5885,8833?

The HCF of 5885,8833 is 11

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 5885/444, 8833/2951?

Answer: GCF of Numerators as per given numbers 5885/444, 8833/2951 is

GCF of Numerators i.e. for 5885,8833 is 11

LCM of denominators i.e. for 444,2951 is 1310244.

Thus, GCF of Fractions is 11/1310244.Finally, GCF of Fractions for 5885/444, 8833/2951 is 11/1310244.