How to Find GCF of 5074/827, 3596/3178?

GCF of 5074/827, 3596/3178

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 5074/827, 3596/3178 i.e 2/2628206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5074/827, 3596/3178.

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 5074/827,3596/3178?

Given fractions are 5074/827,3596/3178

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 5074/827,3596/3178, numerators are 5074,3596

Denominators are 827,3178

The GCF of 5074,3596 is 2 .

LCM of 827,3178 is 2628206.

The greatest common factor of 5074/827,3596/3178 = [GCF of 5074,3596]/[LCM of 827,3178]= 2/2628206

Therefore, the GCF of 5074/827,3596/3178 is 2/2628206.

Greatest Common Factor of 5074,3596

To find the highest common factor of 5074,3596, we have to find the factors of both numbers and list the highest common factor.

The factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074

The factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596

The HCF of 5074,3596 is 2.

Lets's calculate GCF of 5074,3596

Greatest Common Factor (GCF) of 5074,3596 By Common Division

2	5074, 3596
	2537, 1798

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

Greatest Common Factor of 5074,3596 By Matching Biggest Common Factor Method

Now, list down the factors of 5074

1,2,43,59,86,118,2537,5074

Now, list down the factors of 3596

1,2,4,29,31,58,62,116,124,899,1798,3596

Greatest Common Factor

We found the factors 5074,3596 . The biggest common factor number is the GCF number.
So the greatest common factor 5074,3596 is 2.

Lets's calculate LCM of 827,3178

Lowest Common Multiple of 827,3178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2628206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2628206

Therefore, the GCF of Fractions 5074/827,3596/3178 is 2/2628206

Least Common Multiple of 827,3178 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 827,3178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,3178) = 1

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

GCF(827,3178) x common factors =1 x 1 = 1

LCM(827,3178) = ( 827 × 3178 ) / 1

LCM(827,3178) = 2628206 / 1

LCM(827,3178) = 2628206

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5074/827, 3596/3178

1. What is the HCF of 5074,3596?

The HCF of 5074,3596 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 5074/827, 3596/3178?

Answer: GCF of Numerators as per given numbers 5074/827, 3596/3178 is

GCF of Numerators i.e. for 5074,3596 is 2

LCM of denominators i.e. for 827,3178 is 2628206.

Thus, GCF of Fractions is 2/2628206.Finally, GCF of Fractions for 5074/827, 3596/3178 is 2/2628206.