How to Find GCF of 9513/345, 3758/8623?

GCF of 9513/345, 3758/8623

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 9513/345, 3758/8623 i.e 1/2974935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9513/345, 3758/8623.

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 9513/345,3758/8623?

Given fractions are 9513/345,3758/8623

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 9513/345,3758/8623, numerators are 9513,3758

Denominators are 345,8623

The GCF of 9513,3758 is 1 .

LCM of 345,8623 is 2974935.

The greatest common factor of 9513/345,3758/8623 = [GCF of 9513,3758]/[LCM of 345,8623]= 1/2974935

Therefore, the GCF of 9513/345,3758/8623 is 1/2974935.

Greatest Common Factor of 9513,3758

To find the highest common factor of 9513,3758, we have to find the factors of both numbers and list the highest common factor.

The factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513

The factors of 3758 are 1, 2, 1879, 3758

The HCF of 9513,3758 is 1.

Lets's calculate GCF of 9513,3758

Greatest Common Factor (GCF) of 9513,3758 By Common Division

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

Greatest Common Factor of 9513,3758 By Matching Biggest Common Factor Method

Now, list down the factors of 9513

1,3,7,9,21,63,151,453,1057,1359,3171,9513

Now, list down the factors of 3758

1,2,1879,3758

Greatest Common Factor

We found the factors 9513,3758 . The biggest common factor number is the GCF number.
So the greatest common factor 9513,3758 is 1.

Lets's calculate LCM of 345,8623

Lowest Common Multiple of 345,8623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2974935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2974935

Therefore, the GCF of Fractions 9513/345,3758/8623 is 1/2974935

Least Common Multiple of 345,8623 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 345,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,8623) = 1

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

GCF(345,8623) x common factors =1 x 1 = 1

LCM(345,8623) = ( 345 × 8623 ) / 1

LCM(345,8623) = 2974935 / 1

LCM(345,8623) = 2974935

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FAQs on GCF of Fractions of 9513/345, 3758/8623

1. What is the HCF of 9513,3758?

The HCF of 9513,3758 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 9513/345, 3758/8623?

Answer: GCF of Numerators as per given numbers 9513/345, 3758/8623 is

GCF of Numerators i.e. for 9513,3758 is 1

LCM of denominators i.e. for 345,8623 is 2974935.

Thus, GCF of Fractions is 1/2974935.Finally, GCF of Fractions for 9513/345, 3758/8623 is 1/2974935.