How to Find GCF of 657/46, 967/18, 438/25?

GCF of 657/46, 967/18, 438/25

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 657/46, 967/18, 438/25 i.e 1/10350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/46, 967/18, 438/25.

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 657/46,967/18,438/25?

Given fractions are 657/46,967/18,438/25

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 657/46,967/18,438/25, numerators are 657,967,438

Denominators are 46,18,25

The GCF of 657,967,438 is 1 .

LCM of 46,18,25 is 10350.

The greatest common factor of 657/46,967/18,438/25 = [GCF of 657,967,438]/[LCM of 46,18,25]= 1/10350

Therefore, the GCF of 657/46,967/18,438/25 is 1/10350.

Greatest Common Factor of 657,967,438

To find the highest common factor of 657,967,438, we have to find the factors of both numbers and list the highest common factor.

The factors of 657 are 1, 3, 9, 73, 219, 657

The factors of 967 are 1, 967

The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438

The HCF of 657,967,438 is 1.

Lets's calculate GCF of 657,967,438

Greatest Common Factor (GCF) of 657,967,438 By Common Division

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

Greatest Common Factor of 657,967,438 By Matching Biggest Common Factor Method

Now, list down the factors of 657

1,3,9,73,219,657

Now, list down the factors of 967

1,967

Now, list down the factors of 438

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 657,967,438 . The biggest common factor number is the GCF number.
So the greatest common factor 657,967,438 is 1.

Lets's calculate LCM of 46,18,25

Lowest Common Multiple of 46,18,25 using Common Division

2	46, 18, 25
	23, 9, 25

∴ So the LCM of the given numbers is 2 x 23 x 9 x 25 = 10350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10350

Therefore, the GCF of Fractions 657/46,967/18,438/25 is 1/10350

Least Common Multiple of 46,18,25 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 46,18,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,18,25) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,18,25) x common factors =1 x 2 = 2

LCM(46,18,25) = ( 46 × 18 × 25 ) / 2

LCM(46,18,25) = 20700 / 2

LCM(46,18,25) = 10350

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 657/46, 967/18, 438/25

1. What is the HCF of 657,967,438?

The HCF of 657,967,438 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 657/46, 967/18, 438/25?

Answer: GCF of Numerators as per given numbers 657/46, 967/18, 438/25 is

GCF of Numerators i.e. for 657,967,438 is 1

LCM of denominators i.e. for 46,18,25 is 10350.

Thus, GCF of Fractions is 1/10350.Finally, GCF of Fractions for 657/46, 967/18, 438/25 is 1/10350.