GCF of 1360/703, 5438/3114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1360/703, 5438/3114 i.e 2/2189142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1360/703, 5438/3114.
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 1360/703,5438/3114?
Given fractions are 1360/703,5438/3114
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 1360/703,5438/3114, numerators are 1360,5438
Denominators are 703,3114
The GCF of 1360,5438 is 2 .
LCM of 703,3114 is 2189142.
The greatest common factor of 1360/703,5438/3114 = [GCF of 1360,5438]/[LCM of 703,3114]= 2/2189142
Therefore, the GCF of 1360/703,5438/3114 is 2/2189142.
To find the highest common factor of 1360,5438, 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 5438 are 1, 2, 2719, 5438
The HCF of 1360,5438 is 2.
Lets's calculate GCF of 1360,5438
| 2 | 1360, 5438 |
| 680, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1360,5438 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 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 1360,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 1360,5438 is 2.
Lets's calculate LCM of 703,3114
Given numbers has no common factors except 1. So, there LCM is their product i.e 2189142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2189142
Therefore, the GCF of Fractions 1360/703,5438/3114 is 2/2189142
Least Common Multiple of 703,3114 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 703,3114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,3114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,3114) x common factors =1 x 1 = 1
LCM(703,3114) = ( 703 × 3114 ) / 1
LCM(703,3114) = 2189142 / 1
LCM(703,3114) = 2189142
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1360/703, 5438/3114
1. What is the HCF of 1360,5438?
The HCF of 1360,5438 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 1360/703, 5438/3114?
Answer: GCF of Numerators as per given numbers 1360/703, 5438/3114 is
GCF of Numerators i.e. for 1360,5438 is 2
LCM of denominators i.e. for 703,3114 is 2189142.
Thus, GCF of Fractions is 2/2189142.Finally, GCF of Fractions for 1360/703, 5438/3114 is 2/2189142.