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GCF of 443/22, 193/6130

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 443/22, 193/6130 i.e 1/67430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/22, 193/6130.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 443/22,193/6130?

Given fractions are 443/22,193/6130

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 443/22,193/6130, numerators are 443,193

Denominators are 22,6130

The GCF of 443,193 is 1 .

LCM of 22,6130 is 67430.

The greatest common factor of 443/22,193/6130 = [GCF of 443,193]/[LCM of 22,6130]= 1/67430

Therefore, the GCF of 443/22,193/6130 is 1/67430.

Greatest Common Factor of 443,193

To find the highest common factor of 443,193, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 193 are 1, 193

The HCF of 443,193 is 1.

Lets's calculate GCF of 443,193

Greatest Common Factor (GCF) of 443,193 By Common Division

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

Greatest Common Factor of 443,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,193 By Matching Biggest Common Factor Method

Now, list down the factors of 443

:

1,443

Now, list down the factors of 193

:

1,193

Greatest Common Factor

We found the factors 443,193 . The biggest common factor number is the GCF number.
So the greatest common factor 443,193 is 1.

Lets's calculate LCM of 22,6130

Lowest Common Multiple of 22,6130 using Common Division

2 22, 6130
11, 3065

∴ So the LCM of the given numbers is 2 x 11 x 3065 = 67430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67430

Therefore, the GCF of Fractions 443/22,193/6130 is 1/67430

Least Common Multiple of 22,6130 with GCF Formula

Least Common Multiple of 22,6130 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 22,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,6130) = 2

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

GCF(22,6130) x common factors =2 x 1 = 2

LCM(22,6130) = ( 22 × 6130 ) / 2

LCM(22,6130) = 134860 / 2

LCM(22,6130) = 67430


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FAQs on GCF of Fractions of 443/22, 193/6130

1. What is the HCF of 443,193?

The HCF of 443,193 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 443/22, 193/6130?

Answer: GCF of Numerators as per given numbers 443/22, 193/6130 is

GCF of Numerators i.e. for 443,193 is 1

LCM of denominators i.e. for 22,6130 is 67430.

Thus, GCF of Fractions is 1/67430.Finally, GCF of Fractions for 443/22, 193/6130 is 1/67430.