How to Find GCF of 9558/320, 9346/1968?

GCF of 9558/320, 9346/1968

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 9558/320, 9346/1968 i.e 2/39360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9558/320, 9346/1968.

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 9558/320,9346/1968?

Given fractions are 9558/320,9346/1968

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 9558/320,9346/1968, numerators are 9558,9346

Denominators are 320,1968

The GCF of 9558,9346 is 2 .

LCM of 320,1968 is 39360.

The greatest common factor of 9558/320,9346/1968 = [GCF of 9558,9346]/[LCM of 320,1968]= 2/39360

Therefore, the GCF of 9558/320,9346/1968 is 2/39360.

Greatest Common Factor of 9558,9346

To find the highest common factor of 9558,9346, we have to find the factors of both numbers and list the highest common factor.

The factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558

The factors of 9346 are 1, 2, 4673, 9346

The HCF of 9558,9346 is 2.

Lets's calculate GCF of 9558,9346

Greatest Common Factor (GCF) of 9558,9346 By Common Division

2	9558, 9346
	4779, 4673

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9558,9346 By Matching Biggest Common Factor Method

Now, list down the factors of 9558

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Now, list down the factors of 9346

1,2,4673,9346

Greatest Common Factor

We found the factors 9558,9346 . The biggest common factor number is the GCF number.
So the greatest common factor 9558,9346 is 2.

Lets's calculate LCM of 320,1968

Lowest Common Multiple of 320,1968 using Common Division

2	320, 1968
2	160, 984
2	80, 492
2	40, 246
	20, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 20 x 123 = 39360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39360

Therefore, the GCF of Fractions 9558/320,9346/1968 is 2/39360

Least Common Multiple of 320,1968 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 320,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,1968) = 16

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

GCF(320,1968) x common factors =16 x 1 = 16

LCM(320,1968) = ( 320 × 1968 ) / 16

LCM(320,1968) = 629760 / 16

LCM(320,1968) = 39360

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FAQs on GCF of Fractions of 9558/320, 9346/1968

1. What is the HCF of 9558,9346?

The HCF of 9558,9346 is 2

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 9558/320, 9346/1968?

Answer: GCF of Numerators as per given numbers 9558/320, 9346/1968 is

GCF of Numerators i.e. for 9558,9346 is 2

LCM of denominators i.e. for 320,1968 is 39360.

Thus, GCF of Fractions is 2/39360.Finally, GCF of Fractions for 9558/320, 9346/1968 is 2/39360.