How to Find GCF of 65/32, 281/32, 302/245?

GCF of 65/32, 281/32, 302/245

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 65/32, 281/32, 302/245 i.e 1/7840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/32, 281/32, 302/245.

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 65/32,281/32,302/245?

Given fractions are 65/32,281/32,302/245

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 65/32,281/32,302/245, numerators are 65,281,302

Denominators are 32,32,245

The GCF of 65,281,302 is 1 .

LCM of 32,32,245 is 7840.

The greatest common factor of 65/32,281/32,302/245 = [GCF of 65,281,302]/[LCM of 32,32,245]= 1/7840

Therefore, the GCF of 65/32,281/32,302/245 is 1/7840.

Greatest Common Factor of 65,281,302

To find the highest common factor of 65,281,302, we have to find the factors of both numbers and list the highest common factor.

The factors of 65 are 1, 5, 13, 65

The factors of 281 are 1, 281

The factors of 302 are 1, 2, 151, 302

The HCF of 65,281,302 is 1.

Lets's calculate GCF of 65,281,302

Greatest Common Factor (GCF) of 65,281,302 By Common Division

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

Greatest Common Factor of 65,281,302 By Matching Biggest Common Factor Method

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 281

1,281

Now, list down the factors of 302

1,2,151,302

Greatest Common Factor

We found the factors 65,281,302 . The biggest common factor number is the GCF number.
So the greatest common factor 65,281,302 is 1.

Lets's calculate LCM of 32,32,245

Lowest Common Multiple of 32,32,245 using Common Division

2	32, 32, 245
2	16, 16, 245
2	8, 8, 245
2	4, 4, 245
2	2, 2, 245
	1, 1, 245

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 1 x 245 = 7840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7840

Therefore, the GCF of Fractions 65/32,281/32,302/245 is 1/7840

Least Common Multiple of 32,32,245 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 32,32,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,32,245) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(32,32,245) x common factors =1 x 32 = 32

LCM(32,32,245) = ( 32 × 32 × 245 ) / 32

LCM(32,32,245) = 250880 / 32

LCM(32,32,245) = 7840

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FAQs on GCF of Fractions of 65/32, 281/32, 302/245

1. What is the HCF of 65,281,302?

The HCF of 65,281,302 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 65/32, 281/32, 302/245?

Answer: GCF of Numerators as per given numbers 65/32, 281/32, 302/245 is

GCF of Numerators i.e. for 65,281,302 is 1

LCM of denominators i.e. for 32,32,245 is 7840.

Thus, GCF of Fractions is 1/7840.Finally, GCF of Fractions for 65/32, 281/32, 302/245 is 1/7840.