How to Find GCF of 2626/278, 1039/224?

GCF of 2626/278, 1039/224

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 2626/278, 1039/224 i.e 1/31136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2626/278, 1039/224.

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 2626/278,1039/224?

Given fractions are 2626/278,1039/224

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 2626/278,1039/224, numerators are 2626,1039

Denominators are 278,224

The GCF of 2626,1039 is 1 .

LCM of 278,224 is 31136.

The greatest common factor of 2626/278,1039/224 = [GCF of 2626,1039]/[LCM of 278,224]= 1/31136

Therefore, the GCF of 2626/278,1039/224 is 1/31136.

Greatest Common Factor of 2626,1039

To find the highest common factor of 2626,1039, we have to find the factors of both numbers and list the highest common factor.

The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626

The factors of 1039 are 1, 1039

The HCF of 2626,1039 is 1.

Lets's calculate GCF of 2626,1039

Greatest Common Factor (GCF) of 2626,1039 By Common Division

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

Greatest Common Factor of 2626,1039 By Matching Biggest Common Factor Method

Now, list down the factors of 2626

1,2,13,26,101,202,1313,2626

Now, list down the factors of 1039

1,1039

Greatest Common Factor

We found the factors 2626,1039 . The biggest common factor number is the GCF number.
So the greatest common factor 2626,1039 is 1.

Lets's calculate LCM of 278,224

Lowest Common Multiple of 278,224 using Common Division

2	278, 224
	139, 112

∴ So the LCM of the given numbers is 2 x 139 x 112 = 31136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31136

Therefore, the GCF of Fractions 2626/278,1039/224 is 1/31136

Least Common Multiple of 278,224 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 278,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,224) = 2

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

GCF(278,224) x common factors =2 x 1 = 2

LCM(278,224) = ( 278 × 224 ) / 2

LCM(278,224) = 62272 / 2

LCM(278,224) = 31136

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FAQs on GCF of Fractions of 2626/278, 1039/224

1. What is the HCF of 2626,1039?

The HCF of 2626,1039 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 2626/278, 1039/224?

Answer: GCF of Numerators as per given numbers 2626/278, 1039/224 is

GCF of Numerators i.e. for 2626,1039 is 1

LCM of denominators i.e. for 278,224 is 31136.

Thus, GCF of Fractions is 1/31136.Finally, GCF of Fractions for 2626/278, 1039/224 is 1/31136.