GCF of 9427/232, 9300/2716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9427/232, 9300/2716 i.e 1/157528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9427/232, 9300/2716.
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 9427/232,9300/2716?
Given fractions are 9427/232,9300/2716
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 9427/232,9300/2716, numerators are 9427,9300
Denominators are 232,2716
The GCF of 9427,9300 is 1 .
LCM of 232,2716 is 157528.
The greatest common factor of 9427/232,9300/2716 = [GCF of 9427,9300]/[LCM of 232,2716]= 1/157528
Therefore, the GCF of 9427/232,9300/2716 is 1/157528.
To find the highest common factor of 9427,9300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9427 are 1, 11, 857, 9427
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The HCF of 9427,9300 is 1.
Lets's calculate GCF of 9427,9300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9427,9300 By Matching Biggest Common Factor Method
Now, list down the factors of 9427
:1,11,857,9427
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Greatest Common Factor
We found the factors 9427,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 9427,9300 is 1.
Lets's calculate LCM of 232,2716
| 2 | 232, 2716 |
| 2 | 116, 1358 |
| 58, 679 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 679 = 157528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157528
Therefore, the GCF of Fractions 9427/232,9300/2716 is 1/157528
Least Common Multiple of 232,2716 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 232,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,2716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,2716) x common factors =4 x 1 = 4
LCM(232,2716) = ( 232 × 2716 ) / 4
LCM(232,2716) = 630112 / 4
LCM(232,2716) = 157528
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FAQs on GCF of Fractions of 9427/232, 9300/2716
1. What is the HCF of 9427,9300?
The HCF of 9427,9300 is 1
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 9427/232, 9300/2716?
Answer: GCF of Numerators as per given numbers 9427/232, 9300/2716 is
GCF of Numerators i.e. for 9427,9300 is 1
LCM of denominators i.e. for 232,2716 is 157528.
Thus, GCF of Fractions is 1/157528.Finally, GCF of Fractions for 9427/232, 9300/2716 is 1/157528.