Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 802/61,242/95,728/787
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 802,242,728
Greatest Common Factor of Numerators i.e. GCF of 802,242,728 is 2 .
LCM of Denominators means LCM of 61,95,787 as per the given fractions.
LCM of 61,95,787 is 4560665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 802,242,728
2 | 802, 242, 728 |
401, 121, 364 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 802,242,728 . The biggest common factor number is the GCF number.
So the greatest common factor 802,242,728 is 2.
Lets's calculate LCM of 61,95,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 4560665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4560665
Therefore, the GCF of Fractions 802/61,242/95,728/787 is 2/4560665
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 61,95,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,95,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,95,787) x common factors =1 x 1 = 1
LCM(61,95,787) = ( 61 × 95 × 787 ) / 1
LCM(61,95,787) = 4560665 / 1
LCM(61,95,787) = 4560665
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 802/61, 242/95, 728/787?
Answer: GCF of Numerators as per given numbers 802/61, 242/95, 728/787 is
GCF of Numerators i.e. for 802,242,728 is 2
LCM of denominators i.e. for 61,95,787 is 4560665.
Thus, GCF of Fractions is 2/4560665.Finally, GCF of Fractions for 802/61, 242/95, 728/787 is 2/4560665.