How to Find GCF of 622/116, 600/644?

GCF of 622/116, 600/644

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 622/116, 600/644 i.e 2/18676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 622/116, 600/644.

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 622/116,600/644?

Given fractions are 622/116,600/644

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 622/116,600/644, numerators are 622,600

Denominators are 116,644

The GCF of 622,600 is 2 .

LCM of 116,644 is 18676.

The greatest common factor of 622/116,600/644 = [GCF of 622,600]/[LCM of 116,644]= 2/18676

Therefore, the GCF of 622/116,600/644 is 2/18676.

Greatest Common Factor of 622,600

To find the highest common factor of 622,600, we have to find the factors of both numbers and list the highest common factor.

The factors of 622 are 1, 2, 311, 622

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The HCF of 622,600 is 2.

Lets's calculate GCF of 622,600

Greatest Common Factor (GCF) of 622,600 By Common Division

2	622, 600
	311, 300

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

Greatest Common Factor of 622,600 By Matching Biggest Common Factor Method

Now, list down the factors of 622

1,2,311,622

Now, list down the factors of 600

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 622,600 . The biggest common factor number is the GCF number.
So the greatest common factor 622,600 is 2.

Lets's calculate LCM of 116,644

Lowest Common Multiple of 116,644 using Common Division

2	116, 644
2	58, 322
	29, 161

∴ So the LCM of the given numbers is 2 x 2 x 29 x 161 = 18676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18676

Therefore, the GCF of Fractions 622/116,600/644 is 2/18676

Least Common Multiple of 116,644 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 116,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,644) = 4

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

GCF(116,644) x common factors =4 x 1 = 4

LCM(116,644) = ( 116 × 644 ) / 4

LCM(116,644) = 74704 / 4

LCM(116,644) = 18676

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FAQs on GCF of Fractions of 622/116, 600/644

1. What is the HCF of 622,600?

The HCF of 622,600 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 622/116, 600/644?

Answer: GCF of Numerators as per given numbers 622/116, 600/644 is

GCF of Numerators i.e. for 622,600 is 2

LCM of denominators i.e. for 116,644 is 18676.

Thus, GCF of Fractions is 2/18676.Finally, GCF of Fractions for 622/116, 600/644 is 2/18676.