GCF of 9420/905, 3182/5250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9420/905, 3182/5250 i.e 2/950250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9420/905, 3182/5250.
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 9420/905,3182/5250?
Given fractions are 9420/905,3182/5250
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 9420/905,3182/5250, numerators are 9420,3182
Denominators are 905,5250
The GCF of 9420,3182 is 2 .
LCM of 905,5250 is 950250.
The greatest common factor of 9420/905,3182/5250 = [GCF of 9420,3182]/[LCM of 905,5250]= 2/950250
Therefore, the GCF of 9420/905,3182/5250 is 2/950250.
To find the highest common factor of 9420,3182, we have to find the factors of both numbers and list the highest common factor.
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The HCF of 9420,3182 is 2.
Lets's calculate GCF of 9420,3182
| 2 | 9420, 3182 |
| 4710, 1591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9420,3182 By Matching Biggest Common Factor Method
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Greatest Common Factor
We found the factors 9420,3182 . The biggest common factor number is the GCF number.
So the greatest common factor 9420,3182 is 2.
Lets's calculate LCM of 905,5250
| 5 | 905, 5250 |
| 181, 1050 |
∴ So the LCM of the given numbers is 5 x 181 x 1050 = 950250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/950250
Therefore, the GCF of Fractions 9420/905,3182/5250 is 2/950250
Least Common Multiple of 905,5250 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 905,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,5250) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,5250) x common factors =5 x 1 = 5
LCM(905,5250) = ( 905 × 5250 ) / 5
LCM(905,5250) = 4751250 / 5
LCM(905,5250) = 950250
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FAQs on GCF of Fractions of 9420/905, 3182/5250
1. What is the HCF of 9420,3182?
The HCF of 9420,3182 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 9420/905, 3182/5250?
Answer: GCF of Numerators as per given numbers 9420/905, 3182/5250 is
GCF of Numerators i.e. for 9420,3182 is 2
LCM of denominators i.e. for 905,5250 is 950250.
Thus, GCF of Fractions is 2/950250.Finally, GCF of Fractions for 9420/905, 3182/5250 is 2/950250.