Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/723,7360/664
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 710,7360
Greatest Common Factor of Numerators i.e. GCF of 710,7360 is 10 .
LCM of Denominators means LCM of 723,664 as per the given fractions.
LCM of 723,664 is 480072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,7360
2 | 710, 7360 |
5 | 355, 3680 |
71, 736 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 7360
List of positive integer factors of 7360 that divides 7360 without a remainder.
1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Greatest Common Factor
We found the factors 710,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 710,7360 is 10.
Lets's calculate LCM of 723,664
Given numbers has no common factors except 1. So, there LCM is their product i.e 480072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/480072
Therefore, the GCF of Fractions 710/723,7360/664 is 10/480072
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 723,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,664) x common factors =1 x 1 = 1
LCM(723,664) = ( 723 × 664 ) / 1
LCM(723,664) = 480072 / 1
LCM(723,664) = 480072
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 710/723, 7360/664?
Answer: GCF of Numerators as per given numbers 710/723, 7360/664 is
GCF of Numerators i.e. for 710,7360 is 10
LCM of denominators i.e. for 723,664 is 480072.
Thus, GCF of Fractions is 10/480072.Finally, GCF of Fractions for 710/723, 7360/664 is 10/480072.