How to Find GCF of 189/372, 5501/340?

GCF of 189/372, 5501/340

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 189/372, 5501/340 i.e 1/31620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 189/372, 5501/340.

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 189/372,5501/340?

Given fractions are 189/372,5501/340

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 189/372,5501/340, numerators are 189,5501

Denominators are 372,340

The GCF of 189,5501 is 1 .

LCM of 372,340 is 31620.

The greatest common factor of 189/372,5501/340 = [GCF of 189,5501]/[LCM of 372,340]= 1/31620

Therefore, the GCF of 189/372,5501/340 is 1/31620.

Greatest Common Factor of 189,5501

To find the highest common factor of 189,5501, we have to find the factors of both numbers and list the highest common factor.

The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189

The factors of 5501 are 1, 5501

The HCF of 189,5501 is 1.

Lets's calculate GCF of 189,5501

Greatest Common Factor (GCF) of 189,5501 By Common Division

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

Greatest Common Factor of 189,5501 By Matching Biggest Common Factor Method

Now, list down the factors of 189

1,3,7,9,21,27,63,189

Now, list down the factors of 5501

1,5501

Greatest Common Factor

We found the factors 189,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 189,5501 is 1.

Lets's calculate LCM of 372,340

Lowest Common Multiple of 372,340 using Common Division

2	372, 340
2	186, 170
	93, 85

∴ So the LCM of the given numbers is 2 x 2 x 93 x 85 = 31620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31620

Therefore, the GCF of Fractions 189/372,5501/340 is 1/31620

Least Common Multiple of 372,340 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 372,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,340) = 4

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

GCF(372,340) x common factors =4 x 1 = 4

LCM(372,340) = ( 372 × 340 ) / 4

LCM(372,340) = 126480 / 4

LCM(372,340) = 31620

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 189/372, 5501/340

1. What is the HCF of 189,5501?

The HCF of 189,5501 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 189/372, 5501/340?

Answer: GCF of Numerators as per given numbers 189/372, 5501/340 is

GCF of Numerators i.e. for 189,5501 is 1

LCM of denominators i.e. for 372,340 is 31620.

Thus, GCF of Fractions is 1/31620.Finally, GCF of Fractions for 189/372, 5501/340 is 1/31620.