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GCF of 498/10, 745/406

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 498/10, 745/406 i.e 1/2030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/10, 745/406.

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 498/10,745/406?

Given fractions are 498/10,745/406

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 498/10,745/406, numerators are 498,745

Denominators are 10,406

The GCF of 498,745 is 1 .

LCM of 10,406 is 2030.

The greatest common factor of 498/10,745/406 = [GCF of 498,745]/[LCM of 10,406]= 1/2030

Therefore, the GCF of 498/10,745/406 is 1/2030.

Greatest Common Factor of 498,745

To find the highest common factor of 498,745, we have to find the factors of both numbers and list the highest common factor.

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

The factors of 745 are 1, 5, 149, 745

The HCF of 498,745 is 1.

Lets's calculate GCF of 498,745

Greatest Common Factor (GCF) of 498,745 By Common Division

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

Greatest Common Factor of 498,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,745 By Matching Biggest Common Factor Method

Now, list down the factors of 498

:

1,2,3,6,83,166,249,498

Now, list down the factors of 745

:

1,5,149,745

Greatest Common Factor

We found the factors 498,745 . The biggest common factor number is the GCF number.
So the greatest common factor 498,745 is 1.

Lets's calculate LCM of 10,406

Lowest Common Multiple of 10,406 using Common Division

2 10, 406
5, 203

∴ So the LCM of the given numbers is 2 x 5 x 203 = 2030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030

Therefore, the GCF of Fractions 498/10,745/406 is 1/2030

Least Common Multiple of 10,406 with GCF Formula

Least Common Multiple of 10,406 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 10,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,406) = 2

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

GCF(10,406) x common factors =2 x 1 = 2

LCM(10,406) = ( 10 × 406 ) / 2

LCM(10,406) = 4060 / 2

LCM(10,406) = 2030


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FAQs on GCF of Fractions of 498/10, 745/406

1. What is the HCF of 498,745?

The HCF of 498,745 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 498/10, 745/406?

Answer: GCF of Numerators as per given numbers 498/10, 745/406 is

GCF of Numerators i.e. for 498,745 is 1

LCM of denominators i.e. for 10,406 is 2030.

Thus, GCF of Fractions is 1/2030.Finally, GCF of Fractions for 498/10, 745/406 is 1/2030.