How to Find GCF of 812/167, 9393/208?

GCF of 812/167, 9393/208

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 812/167, 9393/208 i.e 1/34736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/167, 9393/208.

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 812/167,9393/208?

Given fractions are 812/167,9393/208

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 812/167,9393/208, numerators are 812,9393

Denominators are 167,208

The GCF of 812,9393 is 1 .

LCM of 167,208 is 34736.

The greatest common factor of 812/167,9393/208 = [GCF of 812,9393]/[LCM of 167,208]= 1/34736

Therefore, the GCF of 812/167,9393/208 is 1/34736.

Greatest Common Factor of 812,9393

To find the highest common factor of 812,9393, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393

The HCF of 812,9393 is 1.

Lets's calculate GCF of 812,9393

Greatest Common Factor (GCF) of 812,9393 By Common Division

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

Greatest Common Factor of 812,9393 By Matching Biggest Common Factor Method

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 9393

1,3,31,93,101,303,3131,9393

Greatest Common Factor

We found the factors 812,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 812,9393 is 1.

Lets's calculate LCM of 167,208

Lowest Common Multiple of 167,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34736

Therefore, the GCF of Fractions 812/167,9393/208 is 1/34736

Least Common Multiple of 167,208 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 167,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,208) = 1

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

GCF(167,208) x common factors =1 x 1 = 1

LCM(167,208) = ( 167 × 208 ) / 1

LCM(167,208) = 34736 / 1

LCM(167,208) = 34736

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FAQs on GCF of Fractions of 812/167, 9393/208

1. What is the HCF of 812,9393?

The HCF of 812,9393 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 812/167, 9393/208?

Answer: GCF of Numerators as per given numbers 812/167, 9393/208 is

GCF of Numerators i.e. for 812,9393 is 1

LCM of denominators i.e. for 167,208 is 34736.

Thus, GCF of Fractions is 1/34736.Finally, GCF of Fractions for 812/167, 9393/208 is 1/34736.