How to Find GCF of 3059/360, 9610/629?

GCF of 3059/360, 9610/629

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 3059/360, 9610/629 i.e 1/226440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3059/360, 9610/629.

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 3059/360,9610/629?

Given fractions are 3059/360,9610/629

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 3059/360,9610/629, numerators are 3059,9610

Denominators are 360,629

The GCF of 3059,9610 is 1 .

LCM of 360,629 is 226440.

The greatest common factor of 3059/360,9610/629 = [GCF of 3059,9610]/[LCM of 360,629]= 1/226440

Therefore, the GCF of 3059/360,9610/629 is 1/226440.

Greatest Common Factor of 3059,9610

To find the highest common factor of 3059,9610, we have to find the factors of both numbers and list the highest common factor.

The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059

The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610

The HCF of 3059,9610 is 1.

Lets's calculate GCF of 3059,9610

Greatest Common Factor (GCF) of 3059,9610 By Common Division

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

Greatest Common Factor of 3059,9610 By Matching Biggest Common Factor Method

Now, list down the factors of 3059

1,7,19,23,133,161,437,3059

Now, list down the factors of 9610

1,2,5,10,31,62,155,310,961,1922,4805,9610

Greatest Common Factor

We found the factors 3059,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 3059,9610 is 1.

Lets's calculate LCM of 360,629

Lowest Common Multiple of 360,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 226440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226440

Therefore, the GCF of Fractions 3059/360,9610/629 is 1/226440

Least Common Multiple of 360,629 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 360,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,629) = 1

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

GCF(360,629) x common factors =1 x 1 = 1

LCM(360,629) = ( 360 × 629 ) / 1

LCM(360,629) = 226440 / 1

LCM(360,629) = 226440

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FAQs on GCF of Fractions of 3059/360, 9610/629

1. What is the HCF of 3059,9610?

The HCF of 3059,9610 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 3059/360, 9610/629?

Answer: GCF of Numerators as per given numbers 3059/360, 9610/629 is

GCF of Numerators i.e. for 3059,9610 is 1

LCM of denominators i.e. for 360,629 is 226440.

Thus, GCF of Fractions is 1/226440.Finally, GCF of Fractions for 3059/360, 9610/629 is 1/226440.