Use our free GCF of Fractions Calculator tool to compute the GCF of 9000/918, 7884/7734 i.e 36/1183302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9000/918, 7884/7734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9000/918,7884/7734
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 9000/918,7884/7734, numerators are 9000,7884
Denominators are 918,7734
The GCF of 9000,7884 is 36 .
LCM of 918,7734 is 1183302.
The greatest common factor of 9000/918,7884/7734 = [GCF of 9000,7884]/[LCM of 918,7734]= 36/1183302
Therefore, the GCF of 9000/918,7884/7734 is 36/1183302.
To find the highest common factor of 9000,7884, 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 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
The HCF of 9000,7884 is 36.
Lets's calculate GCF of 9000,7884
2 | 9000, 7884 |
2 | 4500, 3942 |
3 | 2250, 1971 |
3 | 750, 657 |
250, 219 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
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 7884
:1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Greatest Common Factor
We found the factors 9000,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 9000,7884 is 36.
Lets's calculate LCM of 918,7734
2 | 918, 7734 |
3 | 459, 3867 |
153, 1289 |
∴ So the LCM of the given numbers is 2 x 3 x 153 x 1289 = 1183302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1183302
Therefore, the GCF of Fractions 9000/918,7884/7734 is 36/1183302
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 918,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,7734) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(918,7734) x common factors =6 x 1 = 6
LCM(918,7734) = ( 918 × 7734 ) / 6
LCM(918,7734) = 7099812 / 6
LCM(918,7734) = 1183302
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9000,7884?
The HCF of 9000,7884 is 36
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 9000/918, 7884/7734?
Answer: GCF of Numerators as per given numbers 9000/918, 7884/7734 is
GCF of Numerators i.e. for 9000,7884 is 36
LCM of denominators i.e. for 918,7734 is 1183302.
Thus, GCF of Fractions is 36/1183302.Finally, GCF of Fractions for 9000/918, 7884/7734 is 36/1183302.