How to Find GCF of 40/52, 69/78, 373/148?

GCF of 40/52, 69/78, 373/148

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 40/52, 69/78, 373/148 i.e 1/5772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/52, 69/78, 373/148.

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 40/52,69/78,373/148?

Given fractions are 40/52,69/78,373/148

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 40/52,69/78,373/148, numerators are 40,69,373

Denominators are 52,78,148

The GCF of 40,69,373 is 1 .

LCM of 52,78,148 is 5772.

The greatest common factor of 40/52,69/78,373/148 = [GCF of 40,69,373]/[LCM of 52,78,148]= 1/5772

Therefore, the GCF of 40/52,69/78,373/148 is 1/5772.

Greatest Common Factor of 40,69,373

To find the highest common factor of 40,69,373, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 69 are 1, 3, 23, 69

The factors of 373 are 1, 373

The HCF of 40,69,373 is 1.

Lets's calculate GCF of 40,69,373

Greatest Common Factor (GCF) of 40,69,373 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 40,69,373 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 373

1,373

Greatest Common Factor

We found the factors 40,69,373 . The biggest common factor number is the GCF number.
So the greatest common factor 40,69,373 is 1.

Lets's calculate LCM of 52,78,148

Lowest Common Multiple of 52,78,148 using Common Division

2	52, 78, 148
2	26, 39, 74
13	13, 39, 37
	1, 3, 37

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 3 x 37 = 5772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5772

Therefore, the GCF of Fractions 40/52,69/78,373/148 is 1/5772

Least Common Multiple of 52,78,148 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 52,78,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,78,148) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(52,78,148) x common factors =2 x 52 = 104

LCM(52,78,148) = ( 52 × 78 × 148 ) / 104

LCM(52,78,148) = 600288 / 104

LCM(52,78,148) = 5772

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 40/52, 69/78, 373/148

1. What is the HCF of 40,69,373?

The HCF of 40,69,373 is 1

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 40/52, 69/78, 373/148?

Answer: GCF of Numerators as per given numbers 40/52, 69/78, 373/148 is

GCF of Numerators i.e. for 40,69,373 is 1

LCM of denominators i.e. for 52,78,148 is 5772.

Thus, GCF of Fractions is 1/5772.Finally, GCF of Fractions for 40/52, 69/78, 373/148 is 1/5772.