How to Find GCF of 9203/980, 6443/406?

GCF of 9203/980, 6443/406

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 9203/980, 6443/406 i.e 1/28420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9203/980, 6443/406.

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 9203/980,6443/406?

Given fractions are 9203/980,6443/406

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 9203/980,6443/406, numerators are 9203,6443

Denominators are 980,406

The GCF of 9203,6443 is 1 .

LCM of 980,406 is 28420.

The greatest common factor of 9203/980,6443/406 = [GCF of 9203,6443]/[LCM of 980,406]= 1/28420

Therefore, the GCF of 9203/980,6443/406 is 1/28420.

Greatest Common Factor of 9203,6443

To find the highest common factor of 9203,6443, we have to find the factors of both numbers and list the highest common factor.

The factors of 9203 are 1, 9203

The factors of 6443 are 1, 17, 379, 6443

The HCF of 9203,6443 is 1.

Lets's calculate GCF of 9203,6443

Greatest Common Factor (GCF) of 9203,6443 By Common Division

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

Greatest Common Factor of 9203,6443 By Matching Biggest Common Factor Method

Now, list down the factors of 9203

1,9203

Now, list down the factors of 6443

1,17,379,6443

Greatest Common Factor

We found the factors 9203,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 9203,6443 is 1.

Lets's calculate LCM of 980,406

Lowest Common Multiple of 980,406 using Common Division

2	980, 406
7	490, 203
	70, 29

∴ So the LCM of the given numbers is 2 x 7 x 70 x 29 = 28420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28420

Therefore, the GCF of Fractions 9203/980,6443/406 is 1/28420

Least Common Multiple of 980,406 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 980,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,406) = 14

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

GCF(980,406) x common factors =14 x 1 = 14

LCM(980,406) = ( 980 × 406 ) / 14

LCM(980,406) = 397880 / 14

LCM(980,406) = 28420

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FAQs on GCF of Fractions of 9203/980, 6443/406

1. What is the HCF of 9203,6443?

The HCF of 9203,6443 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 9203/980, 6443/406?

Answer: GCF of Numerators as per given numbers 9203/980, 6443/406 is

GCF of Numerators i.e. for 9203,6443 is 1

LCM of denominators i.e. for 980,406 is 28420.

Thus, GCF of Fractions is 1/28420.Finally, GCF of Fractions for 9203/980, 6443/406 is 1/28420.