GCF of 4968/179, 1383/9671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/179, 1383/9671 i.e 3/1731109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/179, 1383/9671.
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 4968/179,1383/9671?
Given fractions are 4968/179,1383/9671
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 4968/179,1383/9671, numerators are 4968,1383
Denominators are 179,9671
The GCF of 4968,1383 is 3 .
LCM of 179,9671 is 1731109.
The greatest common factor of 4968/179,1383/9671 = [GCF of 4968,1383]/[LCM of 179,9671]= 3/1731109
Therefore, the GCF of 4968/179,1383/9671 is 3/1731109.
To find the highest common factor of 4968,1383, we have to find the factors of both numbers and list the highest common factor.
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The factors of 1383 are 1, 3, 461, 1383
The HCF of 4968,1383 is 3.
Lets's calculate GCF of 4968,1383
| 3 | 4968, 1383 |
| 1656, 461 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4968,1383 By Matching Biggest Common Factor Method
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Now, list down the factors of 1383
:1,3,461,1383
Greatest Common Factor
We found the factors 4968,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,1383 is 3.
Lets's calculate LCM of 179,9671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1731109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1731109
Therefore, the GCF of Fractions 4968/179,1383/9671 is 3/1731109
Least Common Multiple of 179,9671 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 179,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,9671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,9671) x common factors =1 x 1 = 1
LCM(179,9671) = ( 179 × 9671 ) / 1
LCM(179,9671) = 1731109 / 1
LCM(179,9671) = 1731109
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4968/179, 1383/9671
1. What is the HCF of 4968,1383?
The HCF of 4968,1383 is 3
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 4968/179, 1383/9671?
Answer: GCF of Numerators as per given numbers 4968/179, 1383/9671 is
GCF of Numerators i.e. for 4968,1383 is 3
LCM of denominators i.e. for 179,9671 is 1731109.
Thus, GCF of Fractions is 3/1731109.Finally, GCF of Fractions for 4968/179, 1383/9671 is 3/1731109.