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GCF of 457/490, 1898/825

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 457/490, 1898/825 i.e 1/80850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/490, 1898/825.

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 457/490,1898/825?

Given fractions are 457/490,1898/825

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 457/490,1898/825, numerators are 457,1898

Denominators are 490,825

The GCF of 457,1898 is 1 .

LCM of 490,825 is 80850.

The greatest common factor of 457/490,1898/825 = [GCF of 457,1898]/[LCM of 490,825]= 1/80850

Therefore, the GCF of 457/490,1898/825 is 1/80850.

Greatest Common Factor of 457,1898

To find the highest common factor of 457,1898, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898

The HCF of 457,1898 is 1.

Lets's calculate GCF of 457,1898

Greatest Common Factor (GCF) of 457,1898 By Common Division

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

Greatest Common Factor of 457,1898 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,1898 By Matching Biggest Common Factor Method

Now, list down the factors of 457

:

1,457

Now, list down the factors of 1898

:

1,2,13,26,73,146,949,1898

Greatest Common Factor

We found the factors 457,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 457,1898 is 1.

Lets's calculate LCM of 490,825

Lowest Common Multiple of 490,825 using Common Division

5 490, 825
98, 165

∴ So the LCM of the given numbers is 5 x 98 x 165 = 80850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80850

Therefore, the GCF of Fractions 457/490,1898/825 is 1/80850

Least Common Multiple of 490,825 with GCF Formula

Least Common Multiple of 490,825 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 490,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,825) = 5

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

GCF(490,825) x common factors =5 x 1 = 5

LCM(490,825) = ( 490 × 825 ) / 5

LCM(490,825) = 404250 / 5

LCM(490,825) = 80850


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FAQs on GCF of Fractions of 457/490, 1898/825

1. What is the HCF of 457,1898?

The HCF of 457,1898 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 457/490, 1898/825?

Answer: GCF of Numerators as per given numbers 457/490, 1898/825 is

GCF of Numerators i.e. for 457,1898 is 1

LCM of denominators i.e. for 490,825 is 80850.

Thus, GCF of Fractions is 1/80850.Finally, GCF of Fractions for 457/490, 1898/825 is 1/80850.