GCF of 7220/522, 1200/4482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7220/522, 1200/4482 i.e 20/129978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7220/522, 1200/4482.
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 7220/522,1200/4482?
Given fractions are 7220/522,1200/4482
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 7220/522,1200/4482, numerators are 7220,1200
Denominators are 522,4482
The GCF of 7220,1200 is 20 .
LCM of 522,4482 is 129978.
The greatest common factor of 7220/522,1200/4482 = [GCF of 7220,1200]/[LCM of 522,4482]= 20/129978
Therefore, the GCF of 7220/522,1200/4482 is 20/129978.
To find the highest common factor of 7220,1200, we have to find the factors of both numbers and list the highest common factor.
The factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
The HCF of 7220,1200 is 20.
Lets's calculate GCF of 7220,1200
| 2 | 7220, 1200 |
| 2 | 3610, 600 |
| 5 | 1805, 300 |
| 361, 60 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7220,1200 By Matching Biggest Common Factor Method
Now, list down the factors of 7220
:1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220
Now, list down the factors of 1200
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200
Greatest Common Factor
We found the factors 7220,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 7220,1200 is 20.
Lets's calculate LCM of 522,4482
| 2 | 522, 4482 |
| 3 | 261, 2241 |
| 3 | 87, 747 |
| 29, 249 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 249 = 129978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/129978
Therefore, the GCF of Fractions 7220/522,1200/4482 is 20/129978
Least Common Multiple of 522,4482 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 522,4482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,4482) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(522,4482) x common factors =18 x 1 = 18
LCM(522,4482) = ( 522 × 4482 ) / 18
LCM(522,4482) = 2339604 / 18
LCM(522,4482) = 129978
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FAQs on GCF of Fractions of 7220/522, 1200/4482
1. What is the HCF of 7220,1200?
The HCF of 7220,1200 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 7220/522, 1200/4482?
Answer: GCF of Numerators as per given numbers 7220/522, 1200/4482 is
GCF of Numerators i.e. for 7220,1200 is 20
LCM of denominators i.e. for 522,4482 is 129978.
Thus, GCF of Fractions is 20/129978.Finally, GCF of Fractions for 7220/522, 1200/4482 is 20/129978.