How to Find GCF of 20/803, 10/357, 842/457?

GCF of 20/803, 10/357, 842/457

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 20/803, 10/357, 842/457 i.e 2/131008647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/803, 10/357, 842/457.

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 20/803,10/357,842/457?

Given fractions are 20/803,10/357,842/457

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 20/803,10/357,842/457, numerators are 20,10,842

Denominators are 803,357,457

The GCF of 20,10,842 is 2 .

LCM of 803,357,457 is 131008647.

The greatest common factor of 20/803,10/357,842/457 = [GCF of 20,10,842]/[LCM of 803,357,457]= 2/131008647

Therefore, the GCF of 20/803,10/357,842/457 is 2/131008647.

Greatest Common Factor of 20,10,842

To find the highest common factor of 20,10,842, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 10 are 1, 2, 5, 10

The factors of 842 are 1, 2, 421, 842

The HCF of 20,10,842 is 2.

Lets's calculate GCF of 20,10,842

Greatest Common Factor (GCF) of 20,10,842 By Common Division

2	20, 10, 842
	10, 5, 421

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

Greatest Common Factor of 20,10,842 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 842

1,2,421,842

Greatest Common Factor

We found the factors 20,10,842 . The biggest common factor number is the GCF number.
So the greatest common factor 20,10,842 is 2.

Lets's calculate LCM of 803,357,457

Lowest Common Multiple of 803,357,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 131008647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131008647

Therefore, the GCF of Fractions 20/803,10/357,842/457 is 2/131008647

Least Common Multiple of 803,357,457 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 803,357,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,357,457) = 1

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

GCF(803,357,457) x common factors =1 x 1 = 1

LCM(803,357,457) = ( 803 × 357 × 457 ) / 1

LCM(803,357,457) = 131008647 / 1

LCM(803,357,457) = 131008647

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FAQs on GCF of Fractions of 20/803, 10/357, 842/457

1. What is the HCF of 20,10,842?

The HCF of 20,10,842 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 20/803, 10/357, 842/457?

Answer: GCF of Numerators as per given numbers 20/803, 10/357, 842/457 is

GCF of Numerators i.e. for 20,10,842 is 2

LCM of denominators i.e. for 803,357,457 is 131008647.

Thus, GCF of Fractions is 2/131008647.Finally, GCF of Fractions for 20/803, 10/357, 842/457 is 2/131008647.