GCF of 9412/151, 3432/5810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9412/151, 3432/5810 i.e 52/877310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/151, 3432/5810.
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 9412/151,3432/5810?
Given fractions are 9412/151,3432/5810
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 9412/151,3432/5810, numerators are 9412,3432
Denominators are 151,5810
The GCF of 9412,3432 is 52 .
LCM of 151,5810 is 877310.
The greatest common factor of 9412/151,3432/5810 = [GCF of 9412,3432]/[LCM of 151,5810]= 52/877310
Therefore, the GCF of 9412/151,3432/5810 is 52/877310.
To find the highest common factor of 9412,3432, we have to find the factors of both numbers and list the highest common factor.
The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The HCF of 9412,3432 is 52.
Lets's calculate GCF of 9412,3432
| 2 | 9412, 3432 |
| 2 | 4706, 1716 |
| 13 | 2353, 858 |
| 181, 66 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 9412,3432 By Matching Biggest Common Factor Method
Now, list down the factors of 9412
:1,2,4,13,26,52,181,362,724,2353,4706,9412
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Greatest Common Factor
We found the factors 9412,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,3432 is 52.
Lets's calculate LCM of 151,5810
Given numbers has no common factors except 1. So, there LCM is their product i.e 877310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/877310
Therefore, the GCF of Fractions 9412/151,3432/5810 is 52/877310
Least Common Multiple of 151,5810 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 151,5810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,5810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,5810) x common factors =1 x 1 = 1
LCM(151,5810) = ( 151 × 5810 ) / 1
LCM(151,5810) = 877310 / 1
LCM(151,5810) = 877310
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FAQs on GCF of Fractions of 9412/151, 3432/5810
1. What is the HCF of 9412,3432?
The HCF of 9412,3432 is 52
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 9412/151, 3432/5810?
Answer: GCF of Numerators as per given numbers 9412/151, 3432/5810 is
GCF of Numerators i.e. for 9412,3432 is 52
LCM of denominators i.e. for 151,5810 is 877310.
Thus, GCF of Fractions is 52/877310.Finally, GCF of Fractions for 9412/151, 3432/5810 is 52/877310.