GCF of 4220/583, 2820/4641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4220/583, 2820/4641 i.e 20/2705703 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4220/583, 2820/4641.
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 4220/583,2820/4641?
Given fractions are 4220/583,2820/4641
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 4220/583,2820/4641, numerators are 4220,2820
Denominators are 583,4641
The GCF of 4220,2820 is 20 .
LCM of 583,4641 is 2705703.
The greatest common factor of 4220/583,2820/4641 = [GCF of 4220,2820]/[LCM of 583,4641]= 20/2705703
Therefore, the GCF of 4220/583,2820/4641 is 20/2705703.
To find the highest common factor of 4220,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 4220,2820 is 20.
Lets's calculate GCF of 4220,2820
| 2 | 4220, 2820 |
| 2 | 2110, 1410 |
| 5 | 1055, 705 |
| 211, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4220,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 4220,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,2820 is 20.
Lets's calculate LCM of 583,4641
Given numbers has no common factors except 1. So, there LCM is their product i.e 2705703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2705703
Therefore, the GCF of Fractions 4220/583,2820/4641 is 20/2705703
Least Common Multiple of 583,4641 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 583,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,4641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,4641) x common factors =1 x 1 = 1
LCM(583,4641) = ( 583 × 4641 ) / 1
LCM(583,4641) = 2705703 / 1
LCM(583,4641) = 2705703
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4220/583, 2820/4641
1. What is the HCF of 4220,2820?
The HCF of 4220,2820 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 4220/583, 2820/4641?
Answer: GCF of Numerators as per given numbers 4220/583, 2820/4641 is
GCF of Numerators i.e. for 4220,2820 is 20
LCM of denominators i.e. for 583,4641 is 2705703.
Thus, GCF of Fractions is 20/2705703.Finally, GCF of Fractions for 4220/583, 2820/4641 is 20/2705703.