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GCF of 581/68, 958/485

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 581/68, 958/485 i.e 1/32980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/68, 958/485.

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 581/68,958/485?

Given fractions are 581/68,958/485

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 581/68,958/485, numerators are 581,958

Denominators are 68,485

The GCF of 581,958 is 1 .

LCM of 68,485 is 32980.

The greatest common factor of 581/68,958/485 = [GCF of 581,958]/[LCM of 68,485]= 1/32980

Therefore, the GCF of 581/68,958/485 is 1/32980.

Greatest Common Factor of 581,958

To find the highest common factor of 581,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 581 are 1, 7, 83, 581

The factors of 958 are 1, 2, 479, 958

The HCF of 581,958 is 1.

Lets's calculate GCF of 581,958

Greatest Common Factor (GCF) of 581,958 By Common Division

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

Greatest Common Factor of 581,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,958 By Matching Biggest Common Factor Method

Now, list down the factors of 581

:

1,7,83,581

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 581,958 . The biggest common factor number is the GCF number.
So the greatest common factor 581,958 is 1.


Lets's calculate LCM of 68,485

Lowest Common Multiple of 68,485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32980

Therefore, the GCF of Fractions 581/68,958/485 is 1/32980

Least Common Multiple of 68,485 with GCF Formula

Least Common Multiple of 68,485 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 68,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,485) = 1

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

GCF(68,485) x common factors =1 x 1 = 1

LCM(68,485) = ( 68 × 485 ) / 1

LCM(68,485) = 32980 / 1

LCM(68,485) = 32980


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 581/68, 958/485

1. What is the HCF of 581,958?

The HCF of 581,958 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 581/68, 958/485?

Answer: GCF of Numerators as per given numbers 581/68, 958/485 is

GCF of Numerators i.e. for 581,958 is 1

LCM of denominators i.e. for 68,485 is 32980.

Thus, GCF of Fractions is 1/32980.Finally, GCF of Fractions for 581/68, 958/485 is 1/32980.