GCF of 6015/402, 2970/6800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6015/402, 2970/6800 i.e 15/1366800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6015/402, 2970/6800.
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 6015/402,2970/6800?
Given fractions are 6015/402,2970/6800
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 6015/402,2970/6800, numerators are 6015,2970
Denominators are 402,6800
The GCF of 6015,2970 is 15 .
LCM of 402,6800 is 1366800.
The greatest common factor of 6015/402,2970/6800 = [GCF of 6015,2970]/[LCM of 402,6800]= 15/1366800
Therefore, the GCF of 6015/402,2970/6800 is 15/1366800.
To find the highest common factor of 6015,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015
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 HCF of 6015,2970 is 15.
Lets's calculate GCF of 6015,2970
| 3 | 6015, 2970 |
| 5 | 2005, 990 |
| 401, 198 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6015,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 6015
:1,3,5,15,401,1203,2005,6015
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
Greatest Common Factor
We found the factors 6015,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 6015,2970 is 15.
Lets's calculate LCM of 402,6800
| 2 | 402, 6800 |
| 201, 3400 |
∴ So the LCM of the given numbers is 2 x 201 x 3400 = 1366800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1366800
Therefore, the GCF of Fractions 6015/402,2970/6800 is 15/1366800
Least Common Multiple of 402,6800 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 402,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,6800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,6800) x common factors =2 x 1 = 2
LCM(402,6800) = ( 402 × 6800 ) / 2
LCM(402,6800) = 2733600 / 2
LCM(402,6800) = 1366800
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FAQs on GCF of Fractions of 6015/402, 2970/6800
1. What is the HCF of 6015,2970?
The HCF of 6015,2970 is 15
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 6015/402, 2970/6800?
Answer: GCF of Numerators as per given numbers 6015/402, 2970/6800 is
GCF of Numerators i.e. for 6015,2970 is 15
LCM of denominators i.e. for 402,6800 is 1366800.
Thus, GCF of Fractions is 15/1366800.Finally, GCF of Fractions for 6015/402, 2970/6800 is 15/1366800.