How to Find GCF of 820/647, 5722/8052?

GCF of 820/647, 5722/8052

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 820/647, 5722/8052 i.e 2/5209644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/647, 5722/8052.

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 820/647,5722/8052?

Given fractions are 820/647,5722/8052

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 820/647,5722/8052, numerators are 820,5722

Denominators are 647,8052

The GCF of 820,5722 is 2 .

LCM of 647,8052 is 5209644.

The greatest common factor of 820/647,5722/8052 = [GCF of 820,5722]/[LCM of 647,8052]= 2/5209644

Therefore, the GCF of 820/647,5722/8052 is 2/5209644.

Greatest Common Factor of 820,5722

To find the highest common factor of 820,5722, we have to find the factors of both numbers and list the highest common factor.

The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The factors of 5722 are 1, 2, 2861, 5722

The HCF of 820,5722 is 2.

Lets's calculate GCF of 820,5722

Greatest Common Factor (GCF) of 820,5722 By Common Division

2	820, 5722
	410, 2861

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

Greatest Common Factor of 820,5722 By Matching Biggest Common Factor Method

Now, list down the factors of 820

1,2,4,5,10,20,41,82,164,205,410,820

Now, list down the factors of 5722

1,2,2861,5722

Greatest Common Factor

We found the factors 820,5722 . The biggest common factor number is the GCF number.
So the greatest common factor 820,5722 is 2.

Lets's calculate LCM of 647,8052

Lowest Common Multiple of 647,8052 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5209644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5209644

Therefore, the GCF of Fractions 820/647,5722/8052 is 2/5209644

Least Common Multiple of 647,8052 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 647,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,8052) = 1

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

GCF(647,8052) x common factors =1 x 1 = 1

LCM(647,8052) = ( 647 × 8052 ) / 1

LCM(647,8052) = 5209644 / 1

LCM(647,8052) = 5209644

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FAQs on GCF of Fractions of 820/647, 5722/8052

1. What is the HCF of 820,5722?

The HCF of 820,5722 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 820/647, 5722/8052?

Answer: GCF of Numerators as per given numbers 820/647, 5722/8052 is

GCF of Numerators i.e. for 820,5722 is 2

LCM of denominators i.e. for 647,8052 is 5209644.

Thus, GCF of Fractions is 2/5209644.Finally, GCF of Fractions for 820/647, 5722/8052 is 2/5209644.