GCF of 9000/859, 6510/5645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9000/859, 6510/5645 i.e 30/4849055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9000/859, 6510/5645.
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 9000/859,6510/5645?
Given fractions are 9000/859,6510/5645
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 9000/859,6510/5645, numerators are 9000,6510
Denominators are 859,5645
The GCF of 9000,6510 is 30 .
LCM of 859,5645 is 4849055.
The greatest common factor of 9000/859,6510/5645 = [GCF of 9000,6510]/[LCM of 859,5645]= 30/4849055
Therefore, the GCF of 9000/859,6510/5645 is 30/4849055.
To find the highest common factor of 9000,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
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 HCF of 9000,6510 is 30.
Lets's calculate GCF of 9000,6510
| 2 | 9000, 6510 |
| 3 | 4500, 3255 |
| 5 | 1500, 1085 |
| 300, 217 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9000,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 9000
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
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
Greatest Common Factor
We found the factors 9000,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 9000,6510 is 30.
Lets's calculate LCM of 859,5645
Given numbers has no common factors except 1. So, there LCM is their product i.e 4849055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/4849055
Therefore, the GCF of Fractions 9000/859,6510/5645 is 30/4849055
Least Common Multiple of 859,5645 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 859,5645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,5645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,5645) x common factors =1 x 1 = 1
LCM(859,5645) = ( 859 × 5645 ) / 1
LCM(859,5645) = 4849055 / 1
LCM(859,5645) = 4849055
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FAQs on GCF of Fractions of 9000/859, 6510/5645
1. What is the HCF of 9000,6510?
The HCF of 9000,6510 is 30
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 9000/859, 6510/5645?
Answer: GCF of Numerators as per given numbers 9000/859, 6510/5645 is
GCF of Numerators i.e. for 9000,6510 is 30
LCM of denominators i.e. for 859,5645 is 4849055.
Thus, GCF of Fractions is 30/4849055.Finally, GCF of Fractions for 9000/859, 6510/5645 is 30/4849055.