How to Find GCF of 5821/220, 3020/6236?

GCF of 5821/220, 3020/6236

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 5821/220, 3020/6236 i.e 1/342980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5821/220, 3020/6236.

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 5821/220,3020/6236?

Given fractions are 5821/220,3020/6236

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 5821/220,3020/6236, numerators are 5821,3020

Denominators are 220,6236

The GCF of 5821,3020 is 1 .

LCM of 220,6236 is 342980.

The greatest common factor of 5821/220,3020/6236 = [GCF of 5821,3020]/[LCM of 220,6236]= 1/342980

Therefore, the GCF of 5821/220,3020/6236 is 1/342980.

Greatest Common Factor of 5821,3020

To find the highest common factor of 5821,3020, we have to find the factors of both numbers and list the highest common factor.

The factors of 5821 are 1, 5821

The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020

The HCF of 5821,3020 is 1.

Lets's calculate GCF of 5821,3020

Greatest Common Factor (GCF) of 5821,3020 By Common Division

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

Greatest Common Factor of 5821,3020 By Matching Biggest Common Factor Method

Now, list down the factors of 5821

1,5821

Now, list down the factors of 3020

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors 5821,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 5821,3020 is 1.

Lets's calculate LCM of 220,6236

Lowest Common Multiple of 220,6236 using Common Division

2	220, 6236
2	110, 3118
	55, 1559

∴ So the LCM of the given numbers is 2 x 2 x 55 x 1559 = 342980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342980

Therefore, the GCF of Fractions 5821/220,3020/6236 is 1/342980

Least Common Multiple of 220,6236 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 220,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,6236) = 4

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

GCF(220,6236) x common factors =4 x 1 = 4

LCM(220,6236) = ( 220 × 6236 ) / 4

LCM(220,6236) = 1371920 / 4

LCM(220,6236) = 342980

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FAQs on GCF of Fractions of 5821/220, 3020/6236

1. What is the HCF of 5821,3020?

The HCF of 5821,3020 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 5821/220, 3020/6236?

Answer: GCF of Numerators as per given numbers 5821/220, 3020/6236 is

GCF of Numerators i.e. for 5821,3020 is 1

LCM of denominators i.e. for 220,6236 is 342980.

Thus, GCF of Fractions is 1/342980.Finally, GCF of Fractions for 5821/220, 3020/6236 is 1/342980.