GCF of 9387/907, 1380/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9387/907, 1380/7384 i.e 3/6697288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9387/907, 1380/7384.
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 9387/907,1380/7384?
Given fractions are 9387/907,1380/7384
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 9387/907,1380/7384, numerators are 9387,1380
Denominators are 907,7384
The GCF of 9387,1380 is 3 .
LCM of 907,7384 is 6697288.
The greatest common factor of 9387/907,1380/7384 = [GCF of 9387,1380]/[LCM of 907,7384]= 3/6697288
Therefore, the GCF of 9387/907,1380/7384 is 3/6697288.
To find the highest common factor of 9387,1380, we have to find the factors of both numbers and list the highest common factor.
The factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
The HCF of 9387,1380 is 3.
Lets's calculate GCF of 9387,1380
| 3 | 9387, 1380 |
| 3129, 460 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9387,1380 By Matching Biggest Common Factor Method
Now, list down the factors of 9387
:1,3,7,9,21,63,149,447,1043,1341,3129,9387
Now, list down the factors of 1380
:1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Greatest Common Factor
We found the factors 9387,1380 . The biggest common factor number is the GCF number.
So the greatest common factor 9387,1380 is 3.
Lets's calculate LCM of 907,7384
Given numbers has no common factors except 1. So, there LCM is their product i.e 6697288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6697288
Therefore, the GCF of Fractions 9387/907,1380/7384 is 3/6697288
Least Common Multiple of 907,7384 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 907,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,7384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,7384) x common factors =1 x 1 = 1
LCM(907,7384) = ( 907 × 7384 ) / 1
LCM(907,7384) = 6697288 / 1
LCM(907,7384) = 6697288
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FAQs on GCF of Fractions of 9387/907, 1380/7384
1. What is the HCF of 9387,1380?
The HCF of 9387,1380 is 3
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 9387/907, 1380/7384?
Answer: GCF of Numerators as per given numbers 9387/907, 1380/7384 is
GCF of Numerators i.e. for 9387,1380 is 3
LCM of denominators i.e. for 907,7384 is 6697288.
Thus, GCF of Fractions is 3/6697288.Finally, GCF of Fractions for 9387/907, 1380/7384 is 3/6697288.