GCF of 9462/914, 2180/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9462/914, 2180/347 i.e 2/317158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9462/914, 2180/347.
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 9462/914,2180/347?
Given fractions are 9462/914,2180/347
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 9462/914,2180/347, numerators are 9462,2180
Denominators are 914,347
The GCF of 9462,2180 is 2 .
LCM of 914,347 is 317158.
The greatest common factor of 9462/914,2180/347 = [GCF of 9462,2180]/[LCM of 914,347]= 2/317158
Therefore, the GCF of 9462/914,2180/347 is 2/317158.
To find the highest common factor of 9462,2180, we have to find the factors of both numbers and list the highest common factor.
The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180
The HCF of 9462,2180 is 2.
Lets's calculate GCF of 9462,2180
| 2 | 9462, 2180 |
| 4731, 1090 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9462,2180 By Matching Biggest Common Factor Method
Now, list down the factors of 9462
:1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Now, list down the factors of 2180
:1,2,4,5,10,20,109,218,436,545,1090,2180
Greatest Common Factor
We found the factors 9462,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 9462,2180 is 2.
Lets's calculate LCM of 914,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 317158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317158
Therefore, the GCF of Fractions 9462/914,2180/347 is 2/317158
Least Common Multiple of 914,347 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 914,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,347) x common factors =1 x 1 = 1
LCM(914,347) = ( 914 × 347 ) / 1
LCM(914,347) = 317158 / 1
LCM(914,347) = 317158
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FAQs on GCF of Fractions of 9462/914, 2180/347
1. What is the HCF of 9462,2180?
The HCF of 9462,2180 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 9462/914, 2180/347?
Answer: GCF of Numerators as per given numbers 9462/914, 2180/347 is
GCF of Numerators i.e. for 9462,2180 is 2
LCM of denominators i.e. for 914,347 is 317158.
Thus, GCF of Fractions is 2/317158.Finally, GCF of Fractions for 9462/914, 2180/347 is 2/317158.