GCF of 9462/953, 8966/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9462/953, 8966/209 i.e 2/199177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9462/953, 8966/209.
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 9462/953,8966/209?
Given fractions are 9462/953,8966/209
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 9462/953,8966/209, numerators are 9462,8966
Denominators are 953,209
The GCF of 9462,8966 is 2 .
LCM of 953,209 is 199177.
The greatest common factor of 9462/953,8966/209 = [GCF of 9462,8966]/[LCM of 953,209]= 2/199177
Therefore, the GCF of 9462/953,8966/209 is 2/199177.
To find the highest common factor of 9462,8966, 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 8966 are 1, 2, 4483, 8966
The HCF of 9462,8966 is 2.
Lets's calculate GCF of 9462,8966
| 2 | 9462, 8966 |
| 4731, 4483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9462,8966 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 8966
:1,2,4483,8966
Greatest Common Factor
We found the factors 9462,8966 . The biggest common factor number is the GCF number.
So the greatest common factor 9462,8966 is 2.
Lets's calculate LCM of 953,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 199177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199177
Therefore, the GCF of Fractions 9462/953,8966/209 is 2/199177
Least Common Multiple of 953,209 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 953,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,209) x common factors =1 x 1 = 1
LCM(953,209) = ( 953 × 209 ) / 1
LCM(953,209) = 199177 / 1
LCM(953,209) = 199177
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FAQs on GCF of Fractions of 9462/953, 8966/209
1. What is the HCF of 9462,8966?
The HCF of 9462,8966 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 9462/953, 8966/209?
Answer: GCF of Numerators as per given numbers 9462/953, 8966/209 is
GCF of Numerators i.e. for 9462,8966 is 2
LCM of denominators i.e. for 953,209 is 199177.
Thus, GCF of Fractions is 2/199177.Finally, GCF of Fractions for 9462/953, 8966/209 is 2/199177.