GCF of 8436/497, 9472/9237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8436/497, 9472/9237 i.e 148/4590789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8436/497, 9472/9237.
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 8436/497,9472/9237?
Given fractions are 8436/497,9472/9237
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 8436/497,9472/9237, numerators are 8436,9472
Denominators are 497,9237
The GCF of 8436,9472 is 148 .
LCM of 497,9237 is 4590789.
The greatest common factor of 8436/497,9472/9237 = [GCF of 8436,9472]/[LCM of 497,9237]= 148/4590789
Therefore, the GCF of 8436/497,9472/9237 is 148/4590789.
To find the highest common factor of 8436,9472, we have to find the factors of both numbers and list the highest common factor.
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The HCF of 8436,9472 is 148.
Lets's calculate GCF of 8436,9472
| 2 | 8436, 9472 |
| 2 | 4218, 4736 |
| 37 | 2109, 2368 |
| 57, 64 |
∴ So the GCF of the given numbers is 2 x 2 x 37 = 148
Greatest Common Factor of 8436,9472 By Matching Biggest Common Factor Method
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors 8436,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,9472 is 148.
Lets's calculate LCM of 497,9237
Given numbers has no common factors except 1. So, there LCM is their product i.e 4590789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 148/4590789
Therefore, the GCF of Fractions 8436/497,9472/9237 is 148/4590789
Least Common Multiple of 497,9237 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 497,9237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,9237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,9237) x common factors =1 x 1 = 1
LCM(497,9237) = ( 497 × 9237 ) / 1
LCM(497,9237) = 4590789 / 1
LCM(497,9237) = 4590789
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FAQs on GCF of Fractions of 8436/497, 9472/9237
1. What is the HCF of 8436,9472?
The HCF of 8436,9472 is 148
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 8436/497, 9472/9237?
Answer: GCF of Numerators as per given numbers 8436/497, 9472/9237 is
GCF of Numerators i.e. for 8436,9472 is 148
LCM of denominators i.e. for 497,9237 is 4590789.
Thus, GCF of Fractions is 148/4590789.Finally, GCF of Fractions for 8436/497, 9472/9237 is 148/4590789.