How to Find GCF of 4036/607, 5398/8235?

GCF of 4036/607, 5398/8235

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 4036/607, 5398/8235 i.e 2/4998645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4036/607, 5398/8235.

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 4036/607,5398/8235?

Given fractions are 4036/607,5398/8235

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 4036/607,5398/8235, numerators are 4036,5398

Denominators are 607,8235

The GCF of 4036,5398 is 2 .

LCM of 607,8235 is 4998645.

The greatest common factor of 4036/607,5398/8235 = [GCF of 4036,5398]/[LCM of 607,8235]= 2/4998645

Therefore, the GCF of 4036/607,5398/8235 is 2/4998645.

Greatest Common Factor of 4036,5398

To find the highest common factor of 4036,5398, we have to find the factors of both numbers and list the highest common factor.

The factors of 4036 are 1, 2, 4, 1009, 2018, 4036

The factors of 5398 are 1, 2, 2699, 5398

The HCF of 4036,5398 is 2.

Lets's calculate GCF of 4036,5398

Greatest Common Factor (GCF) of 4036,5398 By Common Division

2	4036, 5398
	2018, 2699

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

Greatest Common Factor of 4036,5398 By Matching Biggest Common Factor Method

Now, list down the factors of 4036

1,2,4,1009,2018,4036

Now, list down the factors of 5398

1,2,2699,5398

Greatest Common Factor

We found the factors 4036,5398 . The biggest common factor number is the GCF number.
So the greatest common factor 4036,5398 is 2.

Lets's calculate LCM of 607,8235

Lowest Common Multiple of 607,8235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4998645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4998645

Therefore, the GCF of Fractions 4036/607,5398/8235 is 2/4998645

Least Common Multiple of 607,8235 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 607,8235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,8235) = 1

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

GCF(607,8235) x common factors =1 x 1 = 1

LCM(607,8235) = ( 607 × 8235 ) / 1

LCM(607,8235) = 4998645 / 1

LCM(607,8235) = 4998645

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4036/607, 5398/8235

1. What is the HCF of 4036,5398?

The HCF of 4036,5398 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 4036/607, 5398/8235?

Answer: GCF of Numerators as per given numbers 4036/607, 5398/8235 is

GCF of Numerators i.e. for 4036,5398 is 2

LCM of denominators i.e. for 607,8235 is 4998645.

Thus, GCF of Fractions is 2/4998645.Finally, GCF of Fractions for 4036/607, 5398/8235 is 2/4998645.