GCF of 9400/235, 9114/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9400/235, 9114/610 i.e 2/28670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9400/235, 9114/610.
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 9400/235,9114/610?
Given fractions are 9400/235,9114/610
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 9400/235,9114/610, numerators are 9400,9114
Denominators are 235,610
The GCF of 9400,9114 is 2 .
LCM of 235,610 is 28670.
The greatest common factor of 9400/235,9114/610 = [GCF of 9400,9114]/[LCM of 235,610]= 2/28670
Therefore, the GCF of 9400/235,9114/610 is 2/28670.
To find the highest common factor of 9400,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 9400,9114 is 2.
Lets's calculate GCF of 9400,9114
| 2 | 9400, 9114 |
| 4700, 4557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9400,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 9400,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 9400,9114 is 2.
Lets's calculate LCM of 235,610
| 5 | 235, 610 |
| 47, 122 |
∴ So the LCM of the given numbers is 5 x 47 x 122 = 28670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28670
Therefore, the GCF of Fractions 9400/235,9114/610 is 2/28670
Least Common Multiple of 235,610 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 235,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,610) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,610) x common factors =5 x 1 = 5
LCM(235,610) = ( 235 × 610 ) / 5
LCM(235,610) = 143350 / 5
LCM(235,610) = 28670
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FAQs on GCF of Fractions of 9400/235, 9114/610
1. What is the HCF of 9400,9114?
The HCF of 9400,9114 is 2
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 9400/235, 9114/610?
Answer: GCF of Numerators as per given numbers 9400/235, 9114/610 is
GCF of Numerators i.e. for 9400,9114 is 2
LCM of denominators i.e. for 235,610 is 28670.
Thus, GCF of Fractions is 2/28670.Finally, GCF of Fractions for 9400/235, 9114/610 is 2/28670.