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GCF of 958/499, 570/831

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 958/499, 570/831 i.e 2/414669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/499, 570/831.

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 958/499,570/831?

Given fractions are 958/499,570/831

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 958/499,570/831, numerators are 958,570

Denominators are 499,831

The GCF of 958,570 is 2 .

LCM of 499,831 is 414669.

The greatest common factor of 958/499,570/831 = [GCF of 958,570]/[LCM of 499,831]= 2/414669

Therefore, the GCF of 958/499,570/831 is 2/414669.

Greatest Common Factor of 958,570

To find the highest common factor of 958,570, 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 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The HCF of 958,570 is 2.

Lets's calculate GCF of 958,570

Greatest Common Factor (GCF) of 958,570 By Common Division

2 958, 570
479, 285

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 958,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,570 By Matching Biggest Common Factor Method

Now, list down the factors of 958

:

1,2,479,958

Now, list down the factors of 570

:

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 958,570 . The biggest common factor number is the GCF number.
So the greatest common factor 958,570 is 2.

Lets's calculate LCM of 499,831

Lowest Common Multiple of 499,831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 414669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/414669

Therefore, the GCF of Fractions 958/499,570/831 is 2/414669

Least Common Multiple of 499,831 with GCF Formula

Least Common Multiple of 499,831 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 499,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,831) = 1

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

GCF(499,831) x common factors =1 x 1 = 1

LCM(499,831) = ( 499 × 831 ) / 1

LCM(499,831) = 414669 / 1

LCM(499,831) = 414669


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FAQs on GCF of Fractions of 958/499, 570/831

1. What is the HCF of 958,570?

The HCF of 958,570 is 2

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 958/499, 570/831?

Answer: GCF of Numerators as per given numbers 958/499, 570/831 is

GCF of Numerators i.e. for 958,570 is 2

LCM of denominators i.e. for 499,831 is 414669.

Thus, GCF of Fractions is 2/414669.Finally, GCF of Fractions for 958/499, 570/831 is 2/414669.