GCF of 9237/639, 7809/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9237/639, 7809/540 i.e 3/38340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9237/639, 7809/540.
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 9237/639,7809/540?
Given fractions are 9237/639,7809/540
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 9237/639,7809/540, numerators are 9237,7809
Denominators are 639,540
The GCF of 9237,7809 is 3 .
LCM of 639,540 is 38340.
The greatest common factor of 9237/639,7809/540 = [GCF of 9237,7809]/[LCM of 639,540]= 3/38340
Therefore, the GCF of 9237/639,7809/540 is 3/38340.
To find the highest common factor of 9237,7809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9237 are 1, 3, 3079, 9237
The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809
The HCF of 9237,7809 is 3.
Lets's calculate GCF of 9237,7809
| 3 | 9237, 7809 |
| 3079, 2603 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9237,7809 By Matching Biggest Common Factor Method
Now, list down the factors of 9237
:1,3,3079,9237
Now, list down the factors of 7809
:1,3,19,57,137,411,2603,7809
Greatest Common Factor
We found the factors 9237,7809 . The biggest common factor number is the GCF number.
So the greatest common factor 9237,7809 is 3.
Lets's calculate LCM of 639,540
| 3 | 639, 540 |
| 3 | 213, 180 |
| 71, 60 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 60 = 38340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38340
Therefore, the GCF of Fractions 9237/639,7809/540 is 3/38340
Least Common Multiple of 639,540 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 639,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,540) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(639,540) x common factors =9 x 1 = 9
LCM(639,540) = ( 639 × 540 ) / 9
LCM(639,540) = 345060 / 9
LCM(639,540) = 38340
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FAQs on GCF of Fractions of 9237/639, 7809/540
1. What is the HCF of 9237,7809?
The HCF of 9237,7809 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 9237/639, 7809/540?
Answer: GCF of Numerators as per given numbers 9237/639, 7809/540 is
GCF of Numerators i.e. for 9237,7809 is 3
LCM of denominators i.e. for 639,540 is 38340.
Thus, GCF of Fractions is 3/38340.Finally, GCF of Fractions for 9237/639, 7809/540 is 3/38340.