How to Find GCF of 1568/285, 9567/857?

GCF of 1568/285, 9567/857

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 1568/285, 9567/857 i.e 1/244245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/285, 9567/857.

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 1568/285,9567/857?

Given fractions are 1568/285,9567/857

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 1568/285,9567/857, numerators are 1568,9567

Denominators are 285,857

The GCF of 1568,9567 is 1 .

LCM of 285,857 is 244245.

The greatest common factor of 1568/285,9567/857 = [GCF of 1568,9567]/[LCM of 285,857]= 1/244245

Therefore, the GCF of 1568/285,9567/857 is 1/244245.

Greatest Common Factor of 1568,9567

To find the highest common factor of 1568,9567, we have to find the factors of both numbers and list the highest common factor.

The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568

The factors of 9567 are 1, 3, 9, 1063, 3189, 9567

The HCF of 1568,9567 is 1.

Lets's calculate GCF of 1568,9567

Greatest Common Factor (GCF) of 1568,9567 By Common Division

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

Greatest Common Factor of 1568,9567 By Matching Biggest Common Factor Method

Now, list down the factors of 1568

1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568

Now, list down the factors of 9567

1,3,9,1063,3189,9567

Greatest Common Factor

We found the factors 1568,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,9567 is 1.

Lets's calculate LCM of 285,857

Lowest Common Multiple of 285,857 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 244245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244245

Therefore, the GCF of Fractions 1568/285,9567/857 is 1/244245

Least Common Multiple of 285,857 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 285,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,857) = 1

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

GCF(285,857) x common factors =1 x 1 = 1

LCM(285,857) = ( 285 × 857 ) / 1

LCM(285,857) = 244245 / 1

LCM(285,857) = 244245

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FAQs on GCF of Fractions of 1568/285, 9567/857

1. What is the HCF of 1568,9567?

The HCF of 1568,9567 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 1568/285, 9567/857?

Answer: GCF of Numerators as per given numbers 1568/285, 9567/857 is

GCF of Numerators i.e. for 1568,9567 is 1

LCM of denominators i.e. for 285,857 is 244245.

Thus, GCF of Fractions is 1/244245.Finally, GCF of Fractions for 1568/285, 9567/857 is 1/244245.