GCF of 2970/366, 8772/2200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2970/366, 8772/2200 i.e 6/402600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2970/366, 8772/2200.
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 2970/366,8772/2200?
Given fractions are 2970/366,8772/2200
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 2970/366,8772/2200, numerators are 2970,8772
Denominators are 366,2200
The GCF of 2970,8772 is 6 .
LCM of 366,2200 is 402600.
The greatest common factor of 2970/366,8772/2200 = [GCF of 2970,8772]/[LCM of 366,2200]= 6/402600
Therefore, the GCF of 2970/366,8772/2200 is 6/402600.
To find the highest common factor of 2970,8772, we have to find the factors of both numbers and list the highest common factor.
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The HCF of 2970,8772 is 6.
Lets's calculate GCF of 2970,8772
| 2 | 2970, 8772 |
| 3 | 1485, 4386 |
| 495, 1462 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2970,8772 By Matching Biggest Common Factor Method
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 2970,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,8772 is 6.
Lets's calculate LCM of 366,2200
| 2 | 366, 2200 |
| 183, 1100 |
∴ So the LCM of the given numbers is 2 x 183 x 1100 = 402600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/402600
Therefore, the GCF of Fractions 2970/366,8772/2200 is 6/402600
Least Common Multiple of 366,2200 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 366,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,2200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,2200) x common factors =2 x 1 = 2
LCM(366,2200) = ( 366 × 2200 ) / 2
LCM(366,2200) = 805200 / 2
LCM(366,2200) = 402600
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FAQs on GCF of Fractions of 2970/366, 8772/2200
1. What is the HCF of 2970,8772?
The HCF of 2970,8772 is 6
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 2970/366, 8772/2200?
Answer: GCF of Numerators as per given numbers 2970/366, 8772/2200 is
GCF of Numerators i.e. for 2970,8772 is 6
LCM of denominators i.e. for 366,2200 is 402600.
Thus, GCF of Fractions is 6/402600.Finally, GCF of Fractions for 2970/366, 8772/2200 is 6/402600.