GCF of 1360/279, 4746/3601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1360/279, 4746/3601 i.e 2/1004679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1360/279, 4746/3601.
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 1360/279,4746/3601?
Given fractions are 1360/279,4746/3601
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 1360/279,4746/3601, numerators are 1360,4746
Denominators are 279,3601
The GCF of 1360,4746 is 2 .
LCM of 279,3601 is 1004679.
The greatest common factor of 1360/279,4746/3601 = [GCF of 1360,4746]/[LCM of 279,3601]= 2/1004679
Therefore, the GCF of 1360/279,4746/3601 is 2/1004679.
To find the highest common factor of 1360,4746, we have to find the factors of both numbers and list the highest common factor.
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
The HCF of 1360,4746 is 2.
Lets's calculate GCF of 1360,4746
| 2 | 1360, 4746 |
| 680, 2373 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1360,4746 By Matching Biggest Common Factor Method
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Now, list down the factors of 4746
:1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Greatest Common Factor
We found the factors 1360,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 1360,4746 is 2.
Lets's calculate LCM of 279,3601
Given numbers has no common factors except 1. So, there LCM is their product i.e 1004679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1004679
Therefore, the GCF of Fractions 1360/279,4746/3601 is 2/1004679
Least Common Multiple of 279,3601 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 279,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,3601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,3601) x common factors =1 x 1 = 1
LCM(279,3601) = ( 279 × 3601 ) / 1
LCM(279,3601) = 1004679 / 1
LCM(279,3601) = 1004679
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1360/279, 4746/3601
1. What is the HCF of 1360,4746?
The HCF of 1360,4746 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 1360/279, 4746/3601?
Answer: GCF of Numerators as per given numbers 1360/279, 4746/3601 is
GCF of Numerators i.e. for 1360,4746 is 2
LCM of denominators i.e. for 279,3601 is 1004679.
Thus, GCF of Fractions is 2/1004679.Finally, GCF of Fractions for 1360/279, 4746/3601 is 2/1004679.