How to Find GCF of 74/745, 5439/6164?

GCF of 74/745, 5439/6164

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 74/745, 5439/6164 i.e 37/4592180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/745, 5439/6164.

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 74/745,5439/6164?

Given fractions are 74/745,5439/6164

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 74/745,5439/6164, numerators are 74,5439

Denominators are 745,6164

The GCF of 74,5439 is 37 .

LCM of 745,6164 is 4592180.

The greatest common factor of 74/745,5439/6164 = [GCF of 74,5439]/[LCM of 745,6164]= 37/4592180

Therefore, the GCF of 74/745,5439/6164 is 37/4592180.

Greatest Common Factor of 74,5439

To find the highest common factor of 74,5439, we have to find the factors of both numbers and list the highest common factor.

The factors of 74 are 1, 2, 37, 74

The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

The HCF of 74,5439 is 37.

Lets's calculate GCF of 74,5439

Greatest Common Factor (GCF) of 74,5439 By Common Division

37	74, 5439
	2, 147

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 74,5439 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 5439

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 74,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 74,5439 is 37.

Lets's calculate LCM of 745,6164

Lowest Common Multiple of 745,6164 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4592180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/4592180

Therefore, the GCF of Fractions 74/745,5439/6164 is 37/4592180

Least Common Multiple of 745,6164 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 745,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,6164) = 1

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

GCF(745,6164) x common factors =1 x 1 = 1

LCM(745,6164) = ( 745 × 6164 ) / 1

LCM(745,6164) = 4592180 / 1

LCM(745,6164) = 4592180

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 74/745, 5439/6164

1. What is the HCF of 74,5439?

The HCF of 74,5439 is 37

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 74/745, 5439/6164?

Answer: GCF of Numerators as per given numbers 74/745, 5439/6164 is

GCF of Numerators i.e. for 74,5439 is 37

LCM of denominators i.e. for 745,6164 is 4592180.

Thus, GCF of Fractions is 37/4592180.Finally, GCF of Fractions for 74/745, 5439/6164 is 37/4592180.