How to Find GCF of 9338/402, 4513/8938?

GCF of 9338/402, 4513/8938

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 9338/402, 4513/8938 i.e 1/1796538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9338/402, 4513/8938.

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 9338/402,4513/8938?

Given fractions are 9338/402,4513/8938

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 9338/402,4513/8938, numerators are 9338,4513

Denominators are 402,8938

The GCF of 9338,4513 is 1 .

LCM of 402,8938 is 1796538.

The greatest common factor of 9338/402,4513/8938 = [GCF of 9338,4513]/[LCM of 402,8938]= 1/1796538

Therefore, the GCF of 9338/402,4513/8938 is 1/1796538.

Greatest Common Factor of 9338,4513

To find the highest common factor of 9338,4513, we have to find the factors of both numbers and list the highest common factor.

The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338

The factors of 4513 are 1, 4513

The HCF of 9338,4513 is 1.

Lets's calculate GCF of 9338,4513

Greatest Common Factor (GCF) of 9338,4513 By Common Division

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

Greatest Common Factor of 9338,4513 By Matching Biggest Common Factor Method

Now, list down the factors of 9338

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Now, list down the factors of 4513

1,4513

Greatest Common Factor

We found the factors 9338,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,4513 is 1.

Lets's calculate LCM of 402,8938

Lowest Common Multiple of 402,8938 using Common Division

2	402, 8938
	201, 4469

∴ So the LCM of the given numbers is 2 x 201 x 4469 = 1796538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1796538

Therefore, the GCF of Fractions 9338/402,4513/8938 is 1/1796538

Least Common Multiple of 402,8938 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 402,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,8938) = 2

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

GCF(402,8938) x common factors =2 x 1 = 2

LCM(402,8938) = ( 402 × 8938 ) / 2

LCM(402,8938) = 3593076 / 2

LCM(402,8938) = 1796538

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FAQs on GCF of Fractions of 9338/402, 4513/8938

1. What is the HCF of 9338,4513?

The HCF of 9338,4513 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 9338/402, 4513/8938?

Answer: GCF of Numerators as per given numbers 9338/402, 4513/8938 is

GCF of Numerators i.e. for 9338,4513 is 1

LCM of denominators i.e. for 402,8938 is 1796538.

Thus, GCF of Fractions is 1/1796538.Finally, GCF of Fractions for 9338/402, 4513/8938 is 1/1796538.