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GCF of 3418/490, 2633/205

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 3418/490, 2633/205 i.e 1/20090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3418/490, 2633/205.

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 3418/490,2633/205?

Given fractions are 3418/490,2633/205

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 3418/490,2633/205, numerators are 3418,2633

Denominators are 490,205

The GCF of 3418,2633 is 1 .

LCM of 490,205 is 20090.

The greatest common factor of 3418/490,2633/205 = [GCF of 3418,2633]/[LCM of 490,205]= 1/20090

Therefore, the GCF of 3418/490,2633/205 is 1/20090.

Greatest Common Factor of 3418,2633

To find the highest common factor of 3418,2633, we have to find the factors of both numbers and list the highest common factor.

The factors of 3418 are 1, 2, 1709, 3418

The factors of 2633 are 1, 2633

The HCF of 3418,2633 is 1.

Lets's calculate GCF of 3418,2633

Greatest Common Factor (GCF) of 3418,2633 By Common Division

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

Greatest Common Factor of 3418,2633 By Matching Biggest Common Factor Method

Greatest Common Factor of 3418,2633 By Matching Biggest Common Factor Method

Now, list down the factors of 3418

:

1,2,1709,3418

Now, list down the factors of 2633

:

1,2633

Greatest Common Factor

We found the factors 3418,2633 . The biggest common factor number is the GCF number.
So the greatest common factor 3418,2633 is 1.

Lets's calculate LCM of 490,205

Lowest Common Multiple of 490,205 using Common Division

5 490, 205
98, 41

∴ So the LCM of the given numbers is 5 x 98 x 41 = 20090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20090

Therefore, the GCF of Fractions 3418/490,2633/205 is 1/20090

Least Common Multiple of 490,205 with GCF Formula

Least Common Multiple of 490,205 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 490,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,205) = 5

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

GCF(490,205) x common factors =5 x 1 = 5

LCM(490,205) = ( 490 × 205 ) / 5

LCM(490,205) = 100450 / 5

LCM(490,205) = 20090


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FAQs on GCF of Fractions of 3418/490, 2633/205

1. What is the HCF of 3418,2633?

The HCF of 3418,2633 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 3418/490, 2633/205?

Answer: GCF of Numerators as per given numbers 3418/490, 2633/205 is

GCF of Numerators i.e. for 3418,2633 is 1

LCM of denominators i.e. for 490,205 is 20090.

Thus, GCF of Fractions is 1/20090.Finally, GCF of Fractions for 3418/490, 2633/205 is 1/20090.