GCF of 2312/417, 9629/4863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2312/417, 9629/4863 i.e 1/675957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2312/417, 9629/4863.
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 2312/417,9629/4863?
Given fractions are 2312/417,9629/4863
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 2312/417,9629/4863, numerators are 2312,9629
Denominators are 417,4863
The GCF of 2312,9629 is 1 .
LCM of 417,4863 is 675957.
The greatest common factor of 2312/417,9629/4863 = [GCF of 2312,9629]/[LCM of 417,4863]= 1/675957
Therefore, the GCF of 2312/417,9629/4863 is 1/675957.
To find the highest common factor of 2312,9629, we have to find the factors of both numbers and list the highest common factor.
The factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312
The factors of 9629 are 1, 9629
The HCF of 2312,9629 is 1.
Lets's calculate GCF of 2312,9629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2312,9629 By Matching Biggest Common Factor Method
Now, list down the factors of 2312
:1,2,4,8,17,34,68,136,289,578,1156,2312
Now, list down the factors of 9629
:1,9629
Greatest Common Factor
We found the factors 2312,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 2312,9629 is 1.
Lets's calculate LCM of 417,4863
| 3 | 417, 4863 |
| 139, 1621 |
∴ So the LCM of the given numbers is 3 x 139 x 1621 = 675957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675957
Therefore, the GCF of Fractions 2312/417,9629/4863 is 1/675957
Least Common Multiple of 417,4863 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 417,4863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,4863) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,4863) x common factors =3 x 1 = 3
LCM(417,4863) = ( 417 × 4863 ) / 3
LCM(417,4863) = 2027871 / 3
LCM(417,4863) = 675957
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FAQs on GCF of Fractions of 2312/417, 9629/4863
1. What is the HCF of 2312,9629?
The HCF of 2312,9629 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 2312/417, 9629/4863?
Answer: GCF of Numerators as per given numbers 2312/417, 9629/4863 is
GCF of Numerators i.e. for 2312,9629 is 1
LCM of denominators i.e. for 417,4863 is 675957.
Thus, GCF of Fractions is 1/675957.Finally, GCF of Fractions for 2312/417, 9629/4863 is 1/675957.