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GCF of 655/10, 215/133

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 655/10, 215/133 i.e 5/1330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/10, 215/133.

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 655/10,215/133?

Given fractions are 655/10,215/133

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 655/10,215/133, numerators are 655,215

Denominators are 10,133

The GCF of 655,215 is 5 .

LCM of 10,133 is 1330.

The greatest common factor of 655/10,215/133 = [GCF of 655,215]/[LCM of 10,133]= 5/1330

Therefore, the GCF of 655/10,215/133 is 5/1330.

Greatest Common Factor of 655,215

To find the highest common factor of 655,215, we have to find the factors of both numbers and list the highest common factor.

The factors of 655 are 1, 5, 131, 655

The factors of 215 are 1, 5, 43, 215

The HCF of 655,215 is 5.

Lets's calculate GCF of 655,215

Greatest Common Factor (GCF) of 655,215 By Common Division

5 655, 215
131, 43

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 655,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,215 By Matching Biggest Common Factor Method

Now, list down the factors of 655

:

1,5,131,655

Now, list down the factors of 215

:

1,5,43,215

Greatest Common Factor

We found the factors 655,215 . The biggest common factor number is the GCF number.
So the greatest common factor 655,215 is 5.

Lets's calculate LCM of 10,133

Lowest Common Multiple of 10,133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1330

Therefore, the GCF of Fractions 655/10,215/133 is 5/1330

Least Common Multiple of 10,133 with GCF Formula

Least Common Multiple of 10,133 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 10,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,133) = 1

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

GCF(10,133) x common factors =1 x 1 = 1

LCM(10,133) = ( 10 × 133 ) / 1

LCM(10,133) = 1330 / 1

LCM(10,133) = 1330


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FAQs on GCF of Fractions of 655/10, 215/133

1. What is the HCF of 655,215?

The HCF of 655,215 is 5

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 655/10, 215/133?

Answer: GCF of Numerators as per given numbers 655/10, 215/133 is

GCF of Numerators i.e. for 655,215 is 5

LCM of denominators i.e. for 10,133 is 1330.

Thus, GCF of Fractions is 5/1330.Finally, GCF of Fractions for 655/10, 215/133 is 5/1330.