GCF of 1820/422, 3720/1255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1820/422, 3720/1255 i.e 20/529610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1820/422, 3720/1255.
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 1820/422,3720/1255?
Given fractions are 1820/422,3720/1255
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 1820/422,3720/1255, numerators are 1820,3720
Denominators are 422,1255
The GCF of 1820,3720 is 20 .
LCM of 422,1255 is 529610.
The greatest common factor of 1820/422,3720/1255 = [GCF of 1820,3720]/[LCM of 422,1255]= 20/529610
Therefore, the GCF of 1820/422,3720/1255 is 20/529610.
To find the highest common factor of 1820,3720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
The HCF of 1820,3720 is 20.
Lets's calculate GCF of 1820,3720
| 2 | 1820, 3720 |
| 2 | 910, 1860 |
| 5 | 455, 930 |
| 91, 186 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1820,3720 By Matching Biggest Common Factor Method
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Now, list down the factors of 3720
:1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Greatest Common Factor
We found the factors 1820,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 1820,3720 is 20.
Lets's calculate LCM of 422,1255
Given numbers has no common factors except 1. So, there LCM is their product i.e 529610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/529610
Therefore, the GCF of Fractions 1820/422,3720/1255 is 20/529610
Least Common Multiple of 422,1255 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 422,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,1255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,1255) x common factors =1 x 1 = 1
LCM(422,1255) = ( 422 × 1255 ) / 1
LCM(422,1255) = 529610 / 1
LCM(422,1255) = 529610
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FAQs on GCF of Fractions of 1820/422, 3720/1255
1. What is the HCF of 1820,3720?
The HCF of 1820,3720 is 20
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 1820/422, 3720/1255?
Answer: GCF of Numerators as per given numbers 1820/422, 3720/1255 is
GCF of Numerators i.e. for 1820,3720 is 20
LCM of denominators i.e. for 422,1255 is 529610.
Thus, GCF of Fractions is 20/529610.Finally, GCF of Fractions for 1820/422, 3720/1255 is 20/529610.