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GCF of 263/465, 3112/7285

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 263/465, 3112/7285 i.e 1/21855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/465, 3112/7285.

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 263/465,3112/7285?

Given fractions are 263/465,3112/7285

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 263/465,3112/7285, numerators are 263,3112

Denominators are 465,7285

The GCF of 263,3112 is 1 .

LCM of 465,7285 is 21855.

The greatest common factor of 263/465,3112/7285 = [GCF of 263,3112]/[LCM of 465,7285]= 1/21855

Therefore, the GCF of 263/465,3112/7285 is 1/21855.

Greatest Common Factor of 263,3112

To find the highest common factor of 263,3112, we have to find the factors of both numbers and list the highest common factor.

The factors of 263 are 1, 263

The factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112

The HCF of 263,3112 is 1.

Lets's calculate GCF of 263,3112

Greatest Common Factor (GCF) of 263,3112 By Common Division

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

Greatest Common Factor of 263,3112 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,3112 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 3112

:

1,2,4,8,389,778,1556,3112

Greatest Common Factor

We found the factors 263,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 263,3112 is 1.

Lets's calculate LCM of 465,7285

Lowest Common Multiple of 465,7285 using Common Division

5 465, 7285
31 93, 1457
3, 47

∴ So the LCM of the given numbers is 5 x 31 x 3 x 47 = 21855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21855

Therefore, the GCF of Fractions 263/465,3112/7285 is 1/21855

Least Common Multiple of 465,7285 with GCF Formula

Least Common Multiple of 465,7285 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 465,7285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,7285) = 155

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

GCF(465,7285) x common factors =155 x 1 = 155

LCM(465,7285) = ( 465 × 7285 ) / 155

LCM(465,7285) = 3387525 / 155

LCM(465,7285) = 21855


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FAQs on GCF of Fractions of 263/465, 3112/7285

1. What is the HCF of 263,3112?

The HCF of 263,3112 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 263/465, 3112/7285?

Answer: GCF of Numerators as per given numbers 263/465, 3112/7285 is

GCF of Numerators i.e. for 263,3112 is 1

LCM of denominators i.e. for 465,7285 is 21855.

Thus, GCF of Fractions is 1/21855.Finally, GCF of Fractions for 263/465, 3112/7285 is 1/21855.