GCF of 9468/380, 7440/7820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9468/380, 7440/7820 i.e 12/148580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9468/380, 7440/7820.
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 9468/380,7440/7820?
Given fractions are 9468/380,7440/7820
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 9468/380,7440/7820, numerators are 9468,7440
Denominators are 380,7820
The GCF of 9468,7440 is 12 .
LCM of 380,7820 is 148580.
The greatest common factor of 9468/380,7440/7820 = [GCF of 9468,7440]/[LCM of 380,7820]= 12/148580
Therefore, the GCF of 9468/380,7440/7820 is 12/148580.
To find the highest common factor of 9468,7440, we have to find the factors of both numbers and list the highest common factor.
The factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The HCF of 9468,7440 is 12.
Lets's calculate GCF of 9468,7440
| 2 | 9468, 7440 |
| 2 | 4734, 3720 |
| 3 | 2367, 1860 |
| 789, 620 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9468,7440 By Matching Biggest Common Factor Method
Now, list down the factors of 9468
:1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 9468,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,7440 is 12.
Lets's calculate LCM of 380,7820
| 2 | 380, 7820 |
| 2 | 190, 3910 |
| 5 | 95, 1955 |
| 19, 391 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 391 = 148580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/148580
Therefore, the GCF of Fractions 9468/380,7440/7820 is 12/148580
Least Common Multiple of 380,7820 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 380,7820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,7820) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(380,7820) x common factors =20 x 1 = 20
LCM(380,7820) = ( 380 × 7820 ) / 20
LCM(380,7820) = 2971600 / 20
LCM(380,7820) = 148580
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FAQs on GCF of Fractions of 9468/380, 7440/7820
1. What is the HCF of 9468,7440?
The HCF of 9468,7440 is 12
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 9468/380, 7440/7820?
Answer: GCF of Numerators as per given numbers 9468/380, 7440/7820 is
GCF of Numerators i.e. for 9468,7440 is 12
LCM of denominators i.e. for 380,7820 is 148580.
Thus, GCF of Fractions is 12/148580.Finally, GCF of Fractions for 9468/380, 7440/7820 is 12/148580.