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GCF of 65/623, 9013/1209

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 65/623, 9013/1209 i.e 1/753207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/623, 9013/1209.

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 65/623,9013/1209?

Given fractions are 65/623,9013/1209

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 65/623,9013/1209, numerators are 65,9013

Denominators are 623,1209

The GCF of 65,9013 is 1 .

LCM of 623,1209 is 753207.

The greatest common factor of 65/623,9013/1209 = [GCF of 65,9013]/[LCM of 623,1209]= 1/753207

Therefore, the GCF of 65/623,9013/1209 is 1/753207.

Greatest Common Factor of 65,9013

To find the highest common factor of 65,9013, 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 9013 are 1, 9013

The HCF of 65,9013 is 1.

Lets's calculate GCF of 65,9013

Greatest Common Factor (GCF) of 65,9013 By Common Division

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

Greatest Common Factor of 65,9013 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,9013 By Matching Biggest Common Factor Method

Now, list down the factors of 65

:

1,5,13,65

Now, list down the factors of 9013

:

1,9013

Greatest Common Factor

We found the factors 65,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 65,9013 is 1.

Lets's calculate LCM of 623,1209

Lowest Common Multiple of 623,1209 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 753207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753207

Therefore, the GCF of Fractions 65/623,9013/1209 is 1/753207

Least Common Multiple of 623,1209 with GCF Formula

Least Common Multiple of 623,1209 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 623,1209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,1209) = 1

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

GCF(623,1209) x common factors =1 x 1 = 1

LCM(623,1209) = ( 623 × 1209 ) / 1

LCM(623,1209) = 753207 / 1

LCM(623,1209) = 753207


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FAQs on GCF of Fractions of 65/623, 9013/1209

1. What is the HCF of 65,9013?

The HCF of 65,9013 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 65/623, 9013/1209?

Answer: GCF of Numerators as per given numbers 65/623, 9013/1209 is

GCF of Numerators i.e. for 65,9013 is 1

LCM of denominators i.e. for 623,1209 is 753207.

Thus, GCF of Fractions is 1/753207.Finally, GCF of Fractions for 65/623, 9013/1209 is 1/753207.