How to Find GCF of 9503/476, 8383/5900?

GCF of 9503/476, 8383/5900

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 9503/476, 8383/5900 i.e 1/702100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9503/476, 8383/5900.

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 9503/476,8383/5900?

Given fractions are 9503/476,8383/5900

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 9503/476,8383/5900, numerators are 9503,8383

Denominators are 476,5900

The GCF of 9503,8383 is 1 .

LCM of 476,5900 is 702100.

The greatest common factor of 9503/476,8383/5900 = [GCF of 9503,8383]/[LCM of 476,5900]= 1/702100

Therefore, the GCF of 9503/476,8383/5900 is 1/702100.

Greatest Common Factor of 9503,8383

To find the highest common factor of 9503,8383, we have to find the factors of both numbers and list the highest common factor.

The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503

The factors of 8383 are 1, 83, 101, 8383

The HCF of 9503,8383 is 1.

Lets's calculate GCF of 9503,8383

Greatest Common Factor (GCF) of 9503,8383 By Common Division

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

Greatest Common Factor of 9503,8383 By Matching Biggest Common Factor Method

Now, list down the factors of 9503

1,13,17,43,221,559,731,9503

Now, list down the factors of 8383

1,83,101,8383

Greatest Common Factor

We found the factors 9503,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,8383 is 1.

Lets's calculate LCM of 476,5900

Lowest Common Multiple of 476,5900 using Common Division

2	476, 5900
2	238, 2950
	119, 1475

∴ So the LCM of the given numbers is 2 x 2 x 119 x 1475 = 702100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/702100

Therefore, the GCF of Fractions 9503/476,8383/5900 is 1/702100

Least Common Multiple of 476,5900 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 476,5900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,5900) = 4

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

GCF(476,5900) x common factors =4 x 1 = 4

LCM(476,5900) = ( 476 × 5900 ) / 4

LCM(476,5900) = 2808400 / 4

LCM(476,5900) = 702100

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FAQs on GCF of Fractions of 9503/476, 8383/5900

1. What is the HCF of 9503,8383?

The HCF of 9503,8383 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 9503/476, 8383/5900?

Answer: GCF of Numerators as per given numbers 9503/476, 8383/5900 is

GCF of Numerators i.e. for 9503,8383 is 1

LCM of denominators i.e. for 476,5900 is 702100.

Thus, GCF of Fractions is 1/702100.Finally, GCF of Fractions for 9503/476, 8383/5900 is 1/702100.