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GCF of 812/31, 302/8252

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 812/31, 302/8252 i.e 2/255812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/31, 302/8252.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 812/31,302/8252?

Given fractions are 812/31,302/8252

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 812/31,302/8252, numerators are 812,302

Denominators are 31,8252

The GCF of 812,302 is 2 .

LCM of 31,8252 is 255812.

The greatest common factor of 812/31,302/8252 = [GCF of 812,302]/[LCM of 31,8252]= 2/255812

Therefore, the GCF of 812/31,302/8252 is 2/255812.

Greatest Common Factor of 812,302

To find the highest common factor of 812,302, 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 302 are 1, 2, 151, 302

The HCF of 812,302 is 2.

Lets's calculate GCF of 812,302

Greatest Common Factor (GCF) of 812,302 By Common Division

2 812, 302
406, 151

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

Greatest Common Factor of 812,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,302 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 302

:

1,2,151,302

Greatest Common Factor

We found the factors 812,302 . The biggest common factor number is the GCF number.
So the greatest common factor 812,302 is 2.

Lets's calculate LCM of 31,8252

Lowest Common Multiple of 31,8252 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 255812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255812

Therefore, the GCF of Fractions 812/31,302/8252 is 2/255812

Least Common Multiple of 31,8252 with GCF Formula

Least Common Multiple of 31,8252 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,8252) = 1

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

GCF(31,8252) x common factors =1 x 1 = 1

LCM(31,8252) = ( 31 × 8252 ) / 1

LCM(31,8252) = 255812 / 1

LCM(31,8252) = 255812


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FAQs on GCF of Fractions of 812/31, 302/8252

1. What is the HCF of 812,302?

The HCF of 812,302 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 812/31, 302/8252?

Answer: GCF of Numerators as per given numbers 812/31, 302/8252 is

GCF of Numerators i.e. for 812,302 is 2

LCM of denominators i.e. for 31,8252 is 255812.

Thus, GCF of Fractions is 2/255812.Finally, GCF of Fractions for 812/31, 302/8252 is 2/255812.