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GCF of 958/46, 225/149

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 958/46, 225/149 i.e 1/6854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/46, 225/149.

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 958/46,225/149?

Given fractions are 958/46,225/149

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 958/46,225/149, numerators are 958,225

Denominators are 46,149

The GCF of 958,225 is 1 .

LCM of 46,149 is 6854.

The greatest common factor of 958/46,225/149 = [GCF of 958,225]/[LCM of 46,149]= 1/6854

Therefore, the GCF of 958/46,225/149 is 1/6854.

Greatest Common Factor of 958,225

To find the highest common factor of 958,225, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 958,225 is 1.

Lets's calculate GCF of 958,225

Greatest Common Factor (GCF) of 958,225 By Common Division

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

Greatest Common Factor of 958,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,225 By Matching Biggest Common Factor Method

Now, list down the factors of 958

:

1,2,479,958

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 958,225 . The biggest common factor number is the GCF number.
So the greatest common factor 958,225 is 1.

Lets's calculate LCM of 46,149

Lowest Common Multiple of 46,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6854

Therefore, the GCF of Fractions 958/46,225/149 is 1/6854

Least Common Multiple of 46,149 with GCF Formula

Least Common Multiple of 46,149 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 46,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,149) = 1

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

GCF(46,149) x common factors =1 x 1 = 1

LCM(46,149) = ( 46 × 149 ) / 1

LCM(46,149) = 6854 / 1

LCM(46,149) = 6854


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FAQs on GCF of Fractions of 958/46, 225/149

1. What is the HCF of 958,225?

The HCF of 958,225 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 958/46, 225/149?

Answer: GCF of Numerators as per given numbers 958/46, 225/149 is

GCF of Numerators i.e. for 958,225 is 1

LCM of denominators i.e. for 46,149 is 6854.

Thus, GCF of Fractions is 1/6854.Finally, GCF of Fractions for 958/46, 225/149 is 1/6854.