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GCF of 453/520, 3497/612

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 453/520, 3497/612 i.e 1/79560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/520, 3497/612.

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 453/520,3497/612?

Given fractions are 453/520,3497/612

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 453/520,3497/612, numerators are 453,3497

Denominators are 520,612

The GCF of 453,3497 is 1 .

LCM of 520,612 is 79560.

The greatest common factor of 453/520,3497/612 = [GCF of 453,3497]/[LCM of 520,612]= 1/79560

Therefore, the GCF of 453/520,3497/612 is 1/79560.

Greatest Common Factor of 453,3497

To find the highest common factor of 453,3497, 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 3497 are 1, 13, 269, 3497

The HCF of 453,3497 is 1.

Lets's calculate GCF of 453,3497

Greatest Common Factor (GCF) of 453,3497 By Common Division

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

Greatest Common Factor of 453,3497 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,3497 By Matching Biggest Common Factor Method

Now, list down the factors of 453

:

1,3,151,453

Now, list down the factors of 3497

:

1,13,269,3497

Greatest Common Factor

We found the factors 453,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 453,3497 is 1.

Lets's calculate LCM of 520,612

Lowest Common Multiple of 520,612 using Common Division

2 520, 612
2 260, 306
130, 153

∴ So the LCM of the given numbers is 2 x 2 x 130 x 153 = 79560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79560

Therefore, the GCF of Fractions 453/520,3497/612 is 1/79560

Least Common Multiple of 520,612 with GCF Formula

Least Common Multiple of 520,612 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 520,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,612) = 4

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

GCF(520,612) x common factors =4 x 1 = 4

LCM(520,612) = ( 520 × 612 ) / 4

LCM(520,612) = 318240 / 4

LCM(520,612) = 79560


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FAQs on GCF of Fractions of 453/520, 3497/612

1. What is the HCF of 453,3497?

The HCF of 453,3497 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 453/520, 3497/612?

Answer: GCF of Numerators as per given numbers 453/520, 3497/612 is

GCF of Numerators i.e. for 453,3497 is 1

LCM of denominators i.e. for 520,612 is 79560.

Thus, GCF of Fractions is 1/79560.Finally, GCF of Fractions for 453/520, 3497/612 is 1/79560.