How to Find GCF of 5278/600, 3934/1558?

GCF of 5278/600, 3934/1558

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 5278/600, 3934/1558 i.e 14/467400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5278/600, 3934/1558.

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 5278/600,3934/1558?

Given fractions are 5278/600,3934/1558

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 5278/600,3934/1558, numerators are 5278,3934

Denominators are 600,1558

The GCF of 5278,3934 is 14 .

LCM of 600,1558 is 467400.

The greatest common factor of 5278/600,3934/1558 = [GCF of 5278,3934]/[LCM of 600,1558]= 14/467400

Therefore, the GCF of 5278/600,3934/1558 is 14/467400.

Greatest Common Factor of 5278,3934

To find the highest common factor of 5278,3934, we have to find the factors of both numbers and list the highest common factor.

The factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278

The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934

The HCF of 5278,3934 is 14.

Lets's calculate GCF of 5278,3934

Greatest Common Factor (GCF) of 5278,3934 By Common Division

2	5278, 3934
7	2639, 1967
	377, 281

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 5278,3934 By Matching Biggest Common Factor Method

Now, list down the factors of 5278

1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278

Now, list down the factors of 3934

1,2,7,14,281,562,1967,3934

Greatest Common Factor

We found the factors 5278,3934 . The biggest common factor number is the GCF number.
So the greatest common factor 5278,3934 is 14.

Lets's calculate LCM of 600,1558

Lowest Common Multiple of 600,1558 using Common Division

2	600, 1558
	300, 779

∴ So the LCM of the given numbers is 2 x 300 x 779 = 467400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/467400

Therefore, the GCF of Fractions 5278/600,3934/1558 is 14/467400

Least Common Multiple of 600,1558 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 600,1558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1558) = 2

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

GCF(600,1558) x common factors =2 x 1 = 2

LCM(600,1558) = ( 600 × 1558 ) / 2

LCM(600,1558) = 934800 / 2

LCM(600,1558) = 467400

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5278/600, 3934/1558

1. What is the HCF of 5278,3934?

The HCF of 5278,3934 is 14

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 5278/600, 3934/1558?

Answer: GCF of Numerators as per given numbers 5278/600, 3934/1558 is

GCF of Numerators i.e. for 5278,3934 is 14

LCM of denominators i.e. for 600,1558 is 467400.

Thus, GCF of Fractions is 14/467400.Finally, GCF of Fractions for 5278/600, 3934/1558 is 14/467400.