GCF of 2349/719, 4956/8496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2349/719, 4956/8496 i.e 3/6108624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2349/719, 4956/8496.
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 2349/719,4956/8496?
Given fractions are 2349/719,4956/8496
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 2349/719,4956/8496, numerators are 2349,4956
Denominators are 719,8496
The GCF of 2349,4956 is 3 .
LCM of 719,8496 is 6108624.
The greatest common factor of 2349/719,4956/8496 = [GCF of 2349,4956]/[LCM of 719,8496]= 3/6108624
Therefore, the GCF of 2349/719,4956/8496 is 3/6108624.
To find the highest common factor of 2349,4956, we have to find the factors of both numbers and list the highest common factor.
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The HCF of 2349,4956 is 3.
Lets's calculate GCF of 2349,4956
| 3 | 2349, 4956 |
| 783, 1652 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2349,4956 By Matching Biggest Common Factor Method
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Greatest Common Factor
We found the factors 2349,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 2349,4956 is 3.
Lets's calculate LCM of 719,8496
Given numbers has no common factors except 1. So, there LCM is their product i.e 6108624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6108624
Therefore, the GCF of Fractions 2349/719,4956/8496 is 3/6108624
Least Common Multiple of 719,8496 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 719,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,8496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,8496) x common factors =1 x 1 = 1
LCM(719,8496) = ( 719 × 8496 ) / 1
LCM(719,8496) = 6108624 / 1
LCM(719,8496) = 6108624
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2349/719, 4956/8496
1. What is the HCF of 2349,4956?
The HCF of 2349,4956 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 2349/719, 4956/8496?
Answer: GCF of Numerators as per given numbers 2349/719, 4956/8496 is
GCF of Numerators i.e. for 2349,4956 is 3
LCM of denominators i.e. for 719,8496 is 6108624.
Thus, GCF of Fractions is 3/6108624.Finally, GCF of Fractions for 2349/719, 4956/8496 is 3/6108624.