How to Find GCF of 9213/685, 4610/1576?

GCF of 9213/685, 4610/1576

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 9213/685, 4610/1576 i.e 1/1079560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9213/685, 4610/1576.

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 9213/685,4610/1576?

Given fractions are 9213/685,4610/1576

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 9213/685,4610/1576, numerators are 9213,4610

Denominators are 685,1576

The GCF of 9213,4610 is 1 .

LCM of 685,1576 is 1079560.

The greatest common factor of 9213/685,4610/1576 = [GCF of 9213,4610]/[LCM of 685,1576]= 1/1079560

Therefore, the GCF of 9213/685,4610/1576 is 1/1079560.

Greatest Common Factor of 9213,4610

To find the highest common factor of 9213,4610, we have to find the factors of both numbers and list the highest common factor.

The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213

The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610

The HCF of 9213,4610 is 1.

Lets's calculate GCF of 9213,4610

Greatest Common Factor (GCF) of 9213,4610 By Common Division

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

Greatest Common Factor of 9213,4610 By Matching Biggest Common Factor Method

Now, list down the factors of 9213

1,3,37,83,111,249,3071,9213

Now, list down the factors of 4610

1,2,5,10,461,922,2305,4610

Greatest Common Factor

We found the factors 9213,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 9213,4610 is 1.

Lets's calculate LCM of 685,1576

Lowest Common Multiple of 685,1576 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1079560

Therefore, the GCF of Fractions 9213/685,4610/1576 is 1/1079560

Least Common Multiple of 685,1576 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 685,1576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,1576) = 1

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

GCF(685,1576) x common factors =1 x 1 = 1

LCM(685,1576) = ( 685 × 1576 ) / 1

LCM(685,1576) = 1079560 / 1

LCM(685,1576) = 1079560

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FAQs on GCF of Fractions of 9213/685, 4610/1576

1. What is the HCF of 9213,4610?

The HCF of 9213,4610 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 9213/685, 4610/1576?

Answer: GCF of Numerators as per given numbers 9213/685, 4610/1576 is

GCF of Numerators i.e. for 9213,4610 is 1

LCM of denominators i.e. for 685,1576 is 1079560.

Thus, GCF of Fractions is 1/1079560.Finally, GCF of Fractions for 9213/685, 4610/1576 is 1/1079560.