How to Find GCF of 9394/561, 2354/9324?

GCF of 9394/561, 2354/9324

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 9394/561, 2354/9324 i.e 22/1743588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9394/561, 2354/9324.

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 9394/561,2354/9324?

Given fractions are 9394/561,2354/9324

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 9394/561,2354/9324, numerators are 9394,2354

Denominators are 561,9324

The GCF of 9394,2354 is 22 .

LCM of 561,9324 is 1743588.

The greatest common factor of 9394/561,2354/9324 = [GCF of 9394,2354]/[LCM of 561,9324]= 22/1743588

Therefore, the GCF of 9394/561,2354/9324 is 22/1743588.

Greatest Common Factor of 9394,2354

To find the highest common factor of 9394,2354, we have to find the factors of both numbers and list the highest common factor.

The factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394

The factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354

The HCF of 9394,2354 is 22.

Lets's calculate GCF of 9394,2354

Greatest Common Factor (GCF) of 9394,2354 By Common Division

2	9394, 2354
11	4697, 1177
	427, 107

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 9394,2354 By Matching Biggest Common Factor Method

Now, list down the factors of 9394

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Now, list down the factors of 2354

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors 9394,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 9394,2354 is 22.

Lets's calculate LCM of 561,9324

Lowest Common Multiple of 561,9324 using Common Division

3	561, 9324
	187, 3108

∴ So the LCM of the given numbers is 3 x 187 x 3108 = 1743588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1743588

Therefore, the GCF of Fractions 9394/561,2354/9324 is 22/1743588

Least Common Multiple of 561,9324 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 561,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,9324) = 3

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

GCF(561,9324) x common factors =3 x 1 = 3

LCM(561,9324) = ( 561 × 9324 ) / 3

LCM(561,9324) = 5230764 / 3

LCM(561,9324) = 1743588

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FAQs on GCF of Fractions of 9394/561, 2354/9324

1. What is the HCF of 9394,2354?

The HCF of 9394,2354 is 22

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 9394/561, 2354/9324?

Answer: GCF of Numerators as per given numbers 9394/561, 2354/9324 is

GCF of Numerators i.e. for 9394,2354 is 22

LCM of denominators i.e. for 561,9324 is 1743588.

Thus, GCF of Fractions is 22/1743588.Finally, GCF of Fractions for 9394/561, 2354/9324 is 22/1743588.