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GCF of 490/25, 830/918

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 490/25, 830/918 i.e 10/22950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/25, 830/918.

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 490/25,830/918?

Given fractions are 490/25,830/918

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 490/25,830/918, numerators are 490,830

Denominators are 25,918

The GCF of 490,830 is 10 .

LCM of 25,918 is 22950.

The greatest common factor of 490/25,830/918 = [GCF of 490,830]/[LCM of 25,918]= 10/22950

Therefore, the GCF of 490/25,830/918 is 10/22950.

Greatest Common Factor of 490,830

To find the highest common factor of 490,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 490,830 is 10.

Lets's calculate GCF of 490,830

Greatest Common Factor (GCF) of 490,830 By Common Division

2 490, 830
5 245, 415
49, 83

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 490,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,830 By Matching Biggest Common Factor Method

Now, list down the factors of 490

:

1,2,5,7,10,14,35,49,70,98,245,490

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 490,830 . The biggest common factor number is the GCF number.
So the greatest common factor 490,830 is 10.

Lets's calculate LCM of 25,918

Lowest Common Multiple of 25,918 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/22950

Therefore, the GCF of Fractions 490/25,830/918 is 10/22950

Least Common Multiple of 25,918 with GCF Formula

Least Common Multiple of 25,918 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 25,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,918) = 1

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

GCF(25,918) x common factors =1 x 1 = 1

LCM(25,918) = ( 25 × 918 ) / 1

LCM(25,918) = 22950 / 1

LCM(25,918) = 22950


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FAQs on GCF of Fractions of 490/25, 830/918

1. What is the HCF of 490,830?

The HCF of 490,830 is 10

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 490/25, 830/918?

Answer: GCF of Numerators as per given numbers 490/25, 830/918 is

GCF of Numerators i.e. for 490,830 is 10

LCM of denominators i.e. for 25,918 is 22950.

Thus, GCF of Fractions is 10/22950.Finally, GCF of Fractions for 490/25, 830/918 is 10/22950.