GCF of 6510/975, 4029/9000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6510/975, 4029/9000 i.e 3/117000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6510/975, 4029/9000.
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 6510/975,4029/9000?
Given fractions are 6510/975,4029/9000
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 6510/975,4029/9000, numerators are 6510,4029
Denominators are 975,9000
The GCF of 6510,4029 is 3 .
LCM of 975,9000 is 117000.
The greatest common factor of 6510/975,4029/9000 = [GCF of 6510,4029]/[LCM of 975,9000]= 3/117000
Therefore, the GCF of 6510/975,4029/9000 is 3/117000.
To find the highest common factor of 6510,4029, we have to find the factors of both numbers and list the highest common factor.
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 6510,4029 is 3.
Lets's calculate GCF of 6510,4029
| 3 | 6510, 4029 |
| 2170, 1343 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6510,4029 By Matching Biggest Common Factor Method
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 6510,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,4029 is 3.
Lets's calculate LCM of 975,9000
| 3 | 975, 9000 |
| 5 | 325, 3000 |
| 5 | 65, 600 |
| 13, 120 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 120 = 117000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117000
Therefore, the GCF of Fractions 6510/975,4029/9000 is 3/117000
Least Common Multiple of 975,9000 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 975,9000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,9000) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(975,9000) x common factors =75 x 1 = 75
LCM(975,9000) = ( 975 × 9000 ) / 75
LCM(975,9000) = 8775000 / 75
LCM(975,9000) = 117000
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FAQs on GCF of Fractions of 6510/975, 4029/9000
1. What is the HCF of 6510,4029?
The HCF of 6510,4029 is 3
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 6510/975, 4029/9000?
Answer: GCF of Numerators as per given numbers 6510/975, 4029/9000 is
GCF of Numerators i.e. for 6510,4029 is 3
LCM of denominators i.e. for 975,9000 is 117000.
Thus, GCF of Fractions is 3/117000.Finally, GCF of Fractions for 6510/975, 4029/9000 is 3/117000.