How to Find GCF of 5200/436, 1693/682?

GCF of 5200/436, 1693/682

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 5200/436, 1693/682 i.e 1/148676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5200/436, 1693/682.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5200/436,1693/682?

Given fractions are 5200/436,1693/682

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 5200/436,1693/682, numerators are 5200,1693

Denominators are 436,682

The GCF of 5200,1693 is 1 .

LCM of 436,682 is 148676.

The greatest common factor of 5200/436,1693/682 = [GCF of 5200,1693]/[LCM of 436,682]= 1/148676

Therefore, the GCF of 5200/436,1693/682 is 1/148676.

Greatest Common Factor of 5200,1693

To find the highest common factor of 5200,1693, we have to find the factors of both numbers and list the highest common factor.

The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200

The factors of 1693 are 1, 1693

The HCF of 5200,1693 is 1.

Lets's calculate GCF of 5200,1693

Greatest Common Factor (GCF) of 5200,1693 By Common Division

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

Greatest Common Factor of 5200,1693 By Matching Biggest Common Factor Method

Now, list down the factors of 5200

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Now, list down the factors of 1693

1,1693

Greatest Common Factor

We found the factors 5200,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 5200,1693 is 1.

Lets's calculate LCM of 436,682

Lowest Common Multiple of 436,682 using Common Division

2	436, 682
	218, 341

∴ So the LCM of the given numbers is 2 x 218 x 341 = 148676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148676

Therefore, the GCF of Fractions 5200/436,1693/682 is 1/148676

Least Common Multiple of 436,682 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 436,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,682) = 2

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

GCF(436,682) x common factors =2 x 1 = 2

LCM(436,682) = ( 436 × 682 ) / 2

LCM(436,682) = 297352 / 2

LCM(436,682) = 148676

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FAQs on GCF of Fractions of 5200/436, 1693/682

1. What is the HCF of 5200,1693?

The HCF of 5200,1693 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 5200/436, 1693/682?

Answer: GCF of Numerators as per given numbers 5200/436, 1693/682 is

GCF of Numerators i.e. for 5200,1693 is 1

LCM of denominators i.e. for 436,682 is 148676.

Thus, GCF of Fractions is 1/148676.Finally, GCF of Fractions for 5200/436, 1693/682 is 1/148676.