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GCF of 453/20, 418/356

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 453/20, 418/356 i.e 1/1780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/20, 418/356.

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 453/20,418/356?

Given fractions are 453/20,418/356

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 453/20,418/356, numerators are 453,418

Denominators are 20,356

The GCF of 453,418 is 1 .

LCM of 20,356 is 1780.

The greatest common factor of 453/20,418/356 = [GCF of 453,418]/[LCM of 20,356]= 1/1780

Therefore, the GCF of 453/20,418/356 is 1/1780.

Greatest Common Factor of 453,418

To find the highest common factor of 453,418, we have to find the factors of both numbers and list the highest common factor.

The factors of 453 are 1, 3, 151, 453

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The HCF of 453,418 is 1.

Lets's calculate GCF of 453,418

Greatest Common Factor (GCF) of 453,418 By Common Division

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

Greatest Common Factor of 453,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,418 By Matching Biggest Common Factor Method

Now, list down the factors of 453

:

1,3,151,453

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 453,418 . The biggest common factor number is the GCF number.
So the greatest common factor 453,418 is 1.

Lets's calculate LCM of 20,356

Lowest Common Multiple of 20,356 using Common Division

2 20, 356
2 10, 178
5, 89

∴ So the LCM of the given numbers is 2 x 2 x 5 x 89 = 1780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780

Therefore, the GCF of Fractions 453/20,418/356 is 1/1780

Least Common Multiple of 20,356 with GCF Formula

Least Common Multiple of 20,356 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 20,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,356) = 4

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

GCF(20,356) x common factors =4 x 1 = 4

LCM(20,356) = ( 20 × 356 ) / 4

LCM(20,356) = 7120 / 4

LCM(20,356) = 1780


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FAQs on GCF of Fractions of 453/20, 418/356

1. What is the HCF of 453,418?

The HCF of 453,418 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 453/20, 418/356?

Answer: GCF of Numerators as per given numbers 453/20, 418/356 is

GCF of Numerators i.e. for 453,418 is 1

LCM of denominators i.e. for 20,356 is 1780.

Thus, GCF of Fractions is 1/1780.Finally, GCF of Fractions for 453/20, 418/356 is 1/1780.