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GCF of 2239/889, 8279/5919

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 2239/889, 8279/5919 i.e 1/5261991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2239/889, 8279/5919.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2239/889,8279/5919?

Given fractions are 2239/889,8279/5919

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 2239/889,8279/5919, numerators are 2239,8279

Denominators are 889,5919

The GCF of 2239,8279 is 1 .

LCM of 889,5919 is 5261991.

The greatest common factor of 2239/889,8279/5919 = [GCF of 2239,8279]/[LCM of 889,5919]= 1/5261991

Therefore, the GCF of 2239/889,8279/5919 is 1/5261991.

Greatest Common Factor of 2239,8279

To find the highest common factor of 2239,8279, we have to find the factors of both numbers and list the highest common factor.

The factors of 2239 are 1, 2239

The factors of 8279 are 1, 17, 487, 8279

The HCF of 2239,8279 is 1.

Lets's calculate GCF of 2239,8279

Greatest Common Factor (GCF) of 2239,8279 By Common Division

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

Greatest Common Factor of 2239,8279 By Matching Biggest Common Factor Method

Greatest Common Factor of 2239,8279 By Matching Biggest Common Factor Method

Now, list down the factors of 2239

:

1,2239

Now, list down the factors of 8279

:

1,17,487,8279

Greatest Common Factor

We found the factors 2239,8279 . The biggest common factor number is the GCF number.
So the greatest common factor 2239,8279 is 1.

Lets's calculate LCM of 889,5919

Lowest Common Multiple of 889,5919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5261991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5261991

Therefore, the GCF of Fractions 2239/889,8279/5919 is 1/5261991

Least Common Multiple of 889,5919 with GCF Formula

Least Common Multiple of 889,5919 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 889,5919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,5919) = 1

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

GCF(889,5919) x common factors =1 x 1 = 1

LCM(889,5919) = ( 889 × 5919 ) / 1

LCM(889,5919) = 5261991 / 1

LCM(889,5919) = 5261991


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FAQs on GCF of Fractions of 2239/889, 8279/5919

1. What is the HCF of 2239,8279?

The HCF of 2239,8279 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 2239/889, 8279/5919?

Answer: GCF of Numerators as per given numbers 2239/889, 8279/5919 is

GCF of Numerators i.e. for 2239,8279 is 1

LCM of denominators i.e. for 889,5919 is 5261991.

Thus, GCF of Fractions is 1/5261991.Finally, GCF of Fractions for 2239/889, 8279/5919 is 1/5261991.