How to Find GCF of 5294/106, 2036/978?

GCF of 5294/106, 2036/978

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 5294/106, 2036/978 i.e 2/51834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5294/106, 2036/978.

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 5294/106,2036/978?

Given fractions are 5294/106,2036/978

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 5294/106,2036/978, numerators are 5294,2036

Denominators are 106,978

The GCF of 5294,2036 is 2 .

LCM of 106,978 is 51834.

The greatest common factor of 5294/106,2036/978 = [GCF of 5294,2036]/[LCM of 106,978]= 2/51834

Therefore, the GCF of 5294/106,2036/978 is 2/51834.

Greatest Common Factor of 5294,2036

To find the highest common factor of 5294,2036, we have to find the factors of both numbers and list the highest common factor.

The factors of 5294 are 1, 2, 2647, 5294

The factors of 2036 are 1, 2, 4, 509, 1018, 2036

The HCF of 5294,2036 is 2.

Lets's calculate GCF of 5294,2036

Greatest Common Factor (GCF) of 5294,2036 By Common Division

2	5294, 2036
	2647, 1018

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

Greatest Common Factor of 5294,2036 By Matching Biggest Common Factor Method

Now, list down the factors of 5294

1,2,2647,5294

Now, list down the factors of 2036

1,2,4,509,1018,2036

Greatest Common Factor

We found the factors 5294,2036 . The biggest common factor number is the GCF number.
So the greatest common factor 5294,2036 is 2.

Lets's calculate LCM of 106,978

Lowest Common Multiple of 106,978 using Common Division

2	106, 978
	53, 489

∴ So the LCM of the given numbers is 2 x 53 x 489 = 51834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51834

Therefore, the GCF of Fractions 5294/106,2036/978 is 2/51834

Least Common Multiple of 106,978 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 106,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,978) = 2

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

GCF(106,978) x common factors =2 x 1 = 2

LCM(106,978) = ( 106 × 978 ) / 2

LCM(106,978) = 103668 / 2

LCM(106,978) = 51834

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5294/106, 2036/978

1. What is the HCF of 5294,2036?

The HCF of 5294,2036 is 2

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 5294/106, 2036/978?

Answer: GCF of Numerators as per given numbers 5294/106, 2036/978 is

GCF of Numerators i.e. for 5294,2036 is 2

LCM of denominators i.e. for 106,978 is 51834.

Thus, GCF of Fractions is 2/51834.Finally, GCF of Fractions for 5294/106, 2036/978 is 2/51834.