GCF of 7482/874, 3600/7760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7482/874, 3600/7760 i.e 6/3391120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7482/874, 3600/7760.
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 7482/874,3600/7760?
Given fractions are 7482/874,3600/7760
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 7482/874,3600/7760, numerators are 7482,3600
Denominators are 874,7760
The GCF of 7482,3600 is 6 .
LCM of 874,7760 is 3391120.
The greatest common factor of 7482/874,3600/7760 = [GCF of 7482,3600]/[LCM of 874,7760]= 6/3391120
Therefore, the GCF of 7482/874,3600/7760 is 6/3391120.
To find the highest common factor of 7482,3600, we have to find the factors of both numbers and list the highest common factor.
The factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
The HCF of 7482,3600 is 6.
Lets's calculate GCF of 7482,3600
| 2 | 7482, 3600 |
| 3 | 3741, 1800 |
| 1247, 600 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7482,3600 By Matching Biggest Common Factor Method
Now, list down the factors of 7482
:1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482
Now, list down the factors of 3600
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600
Greatest Common Factor
We found the factors 7482,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 7482,3600 is 6.
Lets's calculate LCM of 874,7760
| 2 | 874, 7760 |
| 437, 3880 |
∴ So the LCM of the given numbers is 2 x 437 x 3880 = 3391120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3391120
Therefore, the GCF of Fractions 7482/874,3600/7760 is 6/3391120
Least Common Multiple of 874,7760 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 874,7760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,7760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,7760) x common factors =2 x 1 = 2
LCM(874,7760) = ( 874 × 7760 ) / 2
LCM(874,7760) = 6782240 / 2
LCM(874,7760) = 3391120
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7482/874, 3600/7760
1. What is the HCF of 7482,3600?
The HCF of 7482,3600 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 7482/874, 3600/7760?
Answer: GCF of Numerators as per given numbers 7482/874, 3600/7760 is
GCF of Numerators i.e. for 7482,3600 is 6
LCM of denominators i.e. for 874,7760 is 3391120.
Thus, GCF of Fractions is 6/3391120.Finally, GCF of Fractions for 7482/874, 3600/7760 is 6/3391120.