GCF of 8220/282, 8700/8008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8220/282, 8700/8008 i.e 60/1129128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8220/282, 8700/8008.
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 8220/282,8700/8008?
Given fractions are 8220/282,8700/8008
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 8220/282,8700/8008, numerators are 8220,8700
Denominators are 282,8008
The GCF of 8220,8700 is 60 .
LCM of 282,8008 is 1129128.
The greatest common factor of 8220/282,8700/8008 = [GCF of 8220,8700]/[LCM of 282,8008]= 60/1129128
Therefore, the GCF of 8220/282,8700/8008 is 60/1129128.
To find the highest common factor of 8220,8700, we have to find the factors of both numbers and list the highest common factor.
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700
The HCF of 8220,8700 is 60.
Lets's calculate GCF of 8220,8700
| 2 | 8220, 8700 |
| 2 | 4110, 4350 |
| 3 | 2055, 2175 |
| 5 | 685, 725 |
| 137, 145 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 8220,8700 By Matching Biggest Common Factor Method
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Now, list down the factors of 8700
:1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Greatest Common Factor
We found the factors 8220,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 8220,8700 is 60.
Lets's calculate LCM of 282,8008
| 2 | 282, 8008 |
| 141, 4004 |
∴ So the LCM of the given numbers is 2 x 141 x 4004 = 1129128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/1129128
Therefore, the GCF of Fractions 8220/282,8700/8008 is 60/1129128
Least Common Multiple of 282,8008 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 282,8008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,8008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,8008) x common factors =2 x 1 = 2
LCM(282,8008) = ( 282 × 8008 ) / 2
LCM(282,8008) = 2258256 / 2
LCM(282,8008) = 1129128
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FAQs on GCF of Fractions of 8220/282, 8700/8008
1. What is the HCF of 8220,8700?
The HCF of 8220,8700 is 60
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 8220/282, 8700/8008?
Answer: GCF of Numerators as per given numbers 8220/282, 8700/8008 is
GCF of Numerators i.e. for 8220,8700 is 60
LCM of denominators i.e. for 282,8008 is 1129128.
Thus, GCF of Fractions is 60/1129128.Finally, GCF of Fractions for 8220/282, 8700/8008 is 60/1129128.