GCF of 9537/444, 7980/3638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9537/444, 7980/3638 i.e 3/807636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9537/444, 7980/3638.
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 9537/444,7980/3638?
Given fractions are 9537/444,7980/3638
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 9537/444,7980/3638, numerators are 9537,7980
Denominators are 444,3638
The GCF of 9537,7980 is 3 .
LCM of 444,3638 is 807636.
The greatest common factor of 9537/444,7980/3638 = [GCF of 9537,7980]/[LCM of 444,3638]= 3/807636
Therefore, the GCF of 9537/444,7980/3638 is 3/807636.
To find the highest common factor of 9537,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 9537,7980 is 3.
Lets's calculate GCF of 9537,7980
| 3 | 9537, 7980 |
| 3179, 2660 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9537,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 9537
:1,3,11,17,33,51,187,289,561,867,3179,9537
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 9537,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 9537,7980 is 3.
Lets's calculate LCM of 444,3638
| 2 | 444, 3638 |
| 222, 1819 |
∴ So the LCM of the given numbers is 2 x 222 x 1819 = 807636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/807636
Therefore, the GCF of Fractions 9537/444,7980/3638 is 3/807636
Least Common Multiple of 444,3638 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 444,3638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,3638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(444,3638) x common factors =2 x 1 = 2
LCM(444,3638) = ( 444 × 3638 ) / 2
LCM(444,3638) = 1615272 / 2
LCM(444,3638) = 807636
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FAQs on GCF of Fractions of 9537/444, 7980/3638
1. What is the HCF of 9537,7980?
The HCF of 9537,7980 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 9537/444, 7980/3638?
Answer: GCF of Numerators as per given numbers 9537/444, 7980/3638 is
GCF of Numerators i.e. for 9537,7980 is 3
LCM of denominators i.e. for 444,3638 is 807636.
Thus, GCF of Fractions is 3/807636.Finally, GCF of Fractions for 9537/444, 7980/3638 is 3/807636.