GCF of 3953/313, 8968/1108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3953/313, 8968/1108 i.e 59/346804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3953/313, 8968/1108.
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 3953/313,8968/1108?
Given fractions are 3953/313,8968/1108
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 3953/313,8968/1108, numerators are 3953,8968
Denominators are 313,1108
The GCF of 3953,8968 is 59 .
LCM of 313,1108 is 346804.
The greatest common factor of 3953/313,8968/1108 = [GCF of 3953,8968]/[LCM of 313,1108]= 59/346804
Therefore, the GCF of 3953/313,8968/1108 is 59/346804.
To find the highest common factor of 3953,8968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3953 are 1, 59, 67, 3953
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The HCF of 3953,8968 is 59.
Lets's calculate GCF of 3953,8968
| 59 | 3953, 8968 |
| 67, 152 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 3953,8968 By Matching Biggest Common Factor Method
Now, list down the factors of 3953
:1,59,67,3953
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 3953,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 3953,8968 is 59.
Lets's calculate LCM of 313,1108
Given numbers has no common factors except 1. So, there LCM is their product i.e 346804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/346804
Therefore, the GCF of Fractions 3953/313,8968/1108 is 59/346804
Least Common Multiple of 313,1108 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 313,1108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,1108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,1108) x common factors =1 x 1 = 1
LCM(313,1108) = ( 313 × 1108 ) / 1
LCM(313,1108) = 346804 / 1
LCM(313,1108) = 346804
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FAQs on GCF of Fractions of 3953/313, 8968/1108
1. What is the HCF of 3953,8968?
The HCF of 3953,8968 is 59
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 3953/313, 8968/1108?
Answer: GCF of Numerators as per given numbers 3953/313, 8968/1108 is
GCF of Numerators i.e. for 3953,8968 is 59
LCM of denominators i.e. for 313,1108 is 346804.
Thus, GCF of Fractions is 59/346804.Finally, GCF of Fractions for 3953/313, 8968/1108 is 59/346804.