GCF of 6180/743, 1563/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6180/743, 1563/772 i.e 3/573596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6180/743, 1563/772.
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 6180/743,1563/772?
Given fractions are 6180/743,1563/772
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 6180/743,1563/772, numerators are 6180,1563
Denominators are 743,772
The GCF of 6180,1563 is 3 .
LCM of 743,772 is 573596.
The greatest common factor of 6180/743,1563/772 = [GCF of 6180,1563]/[LCM of 743,772]= 3/573596
Therefore, the GCF of 6180/743,1563/772 is 3/573596.
To find the highest common factor of 6180,1563, we have to find the factors of both numbers and list the highest common factor.
The factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180
The factors of 1563 are 1, 3, 521, 1563
The HCF of 6180,1563 is 3.
Lets's calculate GCF of 6180,1563
| 3 | 6180, 1563 |
| 2060, 521 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6180,1563 By Matching Biggest Common Factor Method
Now, list down the factors of 6180
:1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Now, list down the factors of 1563
:1,3,521,1563
Greatest Common Factor
We found the factors 6180,1563 . The biggest common factor number is the GCF number.
So the greatest common factor 6180,1563 is 3.
Lets's calculate LCM of 743,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 573596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/573596
Therefore, the GCF of Fractions 6180/743,1563/772 is 3/573596
Least Common Multiple of 743,772 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 743,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,772) x common factors =1 x 1 = 1
LCM(743,772) = ( 743 × 772 ) / 1
LCM(743,772) = 573596 / 1
LCM(743,772) = 573596
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FAQs on GCF of Fractions of 6180/743, 1563/772
1. What is the HCF of 6180,1563?
The HCF of 6180,1563 is 3
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 6180/743, 1563/772?
Answer: GCF of Numerators as per given numbers 6180/743, 1563/772 is
GCF of Numerators i.e. for 6180,1563 is 3
LCM of denominators i.e. for 743,772 is 573596.
Thus, GCF of Fractions is 3/573596.Finally, GCF of Fractions for 6180/743, 1563/772 is 3/573596.