GCF of 7362/861, 1500/441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7362/861, 1500/441 i.e 6/18081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/861, 1500/441.
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 7362/861,1500/441?
Given fractions are 7362/861,1500/441
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 7362/861,1500/441, numerators are 7362,1500
Denominators are 861,441
The GCF of 7362,1500 is 6 .
LCM of 861,441 is 18081.
The greatest common factor of 7362/861,1500/441 = [GCF of 7362,1500]/[LCM of 861,441]= 6/18081
Therefore, the GCF of 7362/861,1500/441 is 6/18081.
To find the highest common factor of 7362,1500, we have to find the factors of both numbers and list the highest common factor.
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The HCF of 7362,1500 is 6.
Lets's calculate GCF of 7362,1500
| 2 | 7362, 1500 |
| 3 | 3681, 750 |
| 1227, 250 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7362,1500 By Matching Biggest Common Factor Method
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors 7362,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,1500 is 6.
Lets's calculate LCM of 861,441
| 3 | 861, 441 |
| 7 | 287, 147 |
| 41, 21 |
∴ So the LCM of the given numbers is 3 x 7 x 41 x 21 = 18081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/18081
Therefore, the GCF of Fractions 7362/861,1500/441 is 6/18081
Least Common Multiple of 861,441 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 861,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,441) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(861,441) x common factors =21 x 1 = 21
LCM(861,441) = ( 861 × 441 ) / 21
LCM(861,441) = 379701 / 21
LCM(861,441) = 18081
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FAQs on GCF of Fractions of 7362/861, 1500/441
1. What is the HCF of 7362,1500?
The HCF of 7362,1500 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 7362/861, 1500/441?
Answer: GCF of Numerators as per given numbers 7362/861, 1500/441 is
GCF of Numerators i.e. for 7362,1500 is 6
LCM of denominators i.e. for 861,441 is 18081.
Thus, GCF of Fractions is 6/18081.Finally, GCF of Fractions for 7362/861, 1500/441 is 6/18081.