Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 804/37,980/27,722/721
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 804,980,722
Greatest Common Factor of Numerators i.e. GCF of 804,980,722 is 2 .
LCM of Denominators means LCM of 37,27,721 as per the given fractions.
LCM of 37,27,721 is 720279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 804,980,722
2 | 804, 980, 722 |
402, 490, 361 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 804,980,722 . The biggest common factor number is the GCF number.
So the greatest common factor 804,980,722 is 2.
Lets's calculate LCM of 37,27,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 720279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/720279
Therefore, the GCF of Fractions 804/37,980/27,722/721 is 2/720279
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 37,27,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,27,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,27,721) x common factors =1 x 1 = 1
LCM(37,27,721) = ( 37 × 27 × 721 ) / 1
LCM(37,27,721) = 720279 / 1
LCM(37,27,721) = 720279
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 804/37, 980/27, 722/721?
Answer: GCF of Numerators as per given numbers 804/37, 980/27, 722/721 is
GCF of Numerators i.e. for 804,980,722 is 2
LCM of denominators i.e. for 37,27,721 is 720279.
Thus, GCF of Fractions is 2/720279.Finally, GCF of Fractions for 804/37, 980/27, 722/721 is 2/720279.