Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/65,760/764
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 730,760
Greatest Common Factor of Numerators i.e. GCF of 730,760 is 10 .
LCM of Denominators means LCM of 65,764 as per the given fractions.
LCM of 65,764 is 49660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,760
2 | 730, 760 |
5 | 365, 380 |
73, 76 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 730,760 . The biggest common factor number is the GCF number.
So the greatest common factor 730,760 is 10.
Lets's calculate LCM of 65,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 49660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/49660
Therefore, the GCF of Fractions 730/65,760/764 is 10/49660
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 65,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,764) x common factors =1 x 1 = 1
LCM(65,764) = ( 65 × 764 ) / 1
LCM(65,764) = 49660 / 1
LCM(65,764) = 49660
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 730/65, 760/764?
Answer: GCF of Numerators as per given numbers 730/65, 760/764 is
GCF of Numerators i.e. for 730,760 is 10
LCM of denominators i.e. for 65,764 is 49660.
Thus, GCF of Fractions is 10/49660.Finally, GCF of Fractions for 730/65, 760/764 is 10/49660.