How to Find GCF of 80/38, 56/504, 802/643?

GCF of 80/38, 56/504, 802/643

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 80/38, 56/504, 802/643 i.e 2/6157368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/38, 56/504, 802/643.

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 80/38,56/504,802/643?

Given fractions are 80/38,56/504,802/643

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 80/38,56/504,802/643, numerators are 80,56,802

Denominators are 38,504,643

The GCF of 80,56,802 is 2 .

LCM of 38,504,643 is 6157368.

The greatest common factor of 80/38,56/504,802/643 = [GCF of 80,56,802]/[LCM of 38,504,643]= 2/6157368

Therefore, the GCF of 80/38,56/504,802/643 is 2/6157368.

Greatest Common Factor of 80,56,802

To find the highest common factor of 80,56,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The factors of 802 are 1, 2, 401, 802

The HCF of 80,56,802 is 2.

Lets's calculate GCF of 80,56,802

Greatest Common Factor (GCF) of 80,56,802 By Common Division

2	80, 56, 802
	40, 28, 401

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 80,56,802 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 56

1,2,4,7,8,14,28,56

Now, list down the factors of 802

1,2,401,802

Greatest Common Factor

We found the factors 80,56,802 . The biggest common factor number is the GCF number.
So the greatest common factor 80,56,802 is 2.

Lets's calculate LCM of 38,504,643

Lowest Common Multiple of 38,504,643 using Common Division

2	38, 504, 643
	19, 252, 643

∴ So the LCM of the given numbers is 2 x 19 x 252 x 643 = 6157368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6157368

Therefore, the GCF of Fractions 80/38,56/504,802/643 is 2/6157368

Least Common Multiple of 38,504,643 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 38,504,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,504,643) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,504,643) x common factors =1 x 2 = 2

LCM(38,504,643) = ( 38 × 504 × 643 ) / 2

LCM(38,504,643) = 12314736 / 2

LCM(38,504,643) = 6157368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 80/38, 56/504, 802/643

1. What is the HCF of 80,56,802?

The HCF of 80,56,802 is 2

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 80/38, 56/504, 802/643?

Answer: GCF of Numerators as per given numbers 80/38, 56/504, 802/643 is

GCF of Numerators i.e. for 80,56,802 is 2

LCM of denominators i.e. for 38,504,643 is 6157368.

Thus, GCF of Fractions is 2/6157368.Finally, GCF of Fractions for 80/38, 56/504, 802/643 is 2/6157368.