How to Find GCF of 9883/152, 9356/8568?

GCF of 9883/152, 9356/8568

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 9883/152, 9356/8568 i.e 1/162792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9883/152, 9356/8568.

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 9883/152,9356/8568?

Given fractions are 9883/152,9356/8568

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 9883/152,9356/8568, numerators are 9883,9356

Denominators are 152,8568

The GCF of 9883,9356 is 1 .

LCM of 152,8568 is 162792.

The greatest common factor of 9883/152,9356/8568 = [GCF of 9883,9356]/[LCM of 152,8568]= 1/162792

Therefore, the GCF of 9883/152,9356/8568 is 1/162792.

Greatest Common Factor of 9883,9356

To find the highest common factor of 9883,9356, we have to find the factors of both numbers and list the highest common factor.

The factors of 9883 are 1, 9883

The factors of 9356 are 1, 2, 4, 2339, 4678, 9356

The HCF of 9883,9356 is 1.

Lets's calculate GCF of 9883,9356

Greatest Common Factor (GCF) of 9883,9356 By Common Division

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

Greatest Common Factor of 9883,9356 By Matching Biggest Common Factor Method

Now, list down the factors of 9883

1,9883

Now, list down the factors of 9356

1,2,4,2339,4678,9356

Greatest Common Factor

We found the factors 9883,9356 . The biggest common factor number is the GCF number.
So the greatest common factor 9883,9356 is 1.

Lets's calculate LCM of 152,8568

Lowest Common Multiple of 152,8568 using Common Division

2	152, 8568
2	76, 4284
2	38, 2142
	19, 1071

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1071 = 162792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162792

Therefore, the GCF of Fractions 9883/152,9356/8568 is 1/162792

Least Common Multiple of 152,8568 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 152,8568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,8568) = 8

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

GCF(152,8568) x common factors =8 x 1 = 8

LCM(152,8568) = ( 152 × 8568 ) / 8

LCM(152,8568) = 1302336 / 8

LCM(152,8568) = 162792

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FAQs on GCF of Fractions of 9883/152, 9356/8568

1. What is the HCF of 9883,9356?

The HCF of 9883,9356 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 9883/152, 9356/8568?

Answer: GCF of Numerators as per given numbers 9883/152, 9356/8568 is

GCF of Numerators i.e. for 9883,9356 is 1

LCM of denominators i.e. for 152,8568 is 162792.

Thus, GCF of Fractions is 1/162792.Finally, GCF of Fractions for 9883/152, 9356/8568 is 1/162792.