Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/504,8566/139
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 786,8566
Greatest Common Factor of Numerators i.e. GCF of 786,8566 is 2 .
LCM of Denominators means LCM of 504,139 as per the given fractions.
LCM of 504,139 is 70056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 786,8566
2 | 786, 8566 |
393, 4283 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 8566
List of positive integer factors of 8566 that divides 8566 without a remainder.
1,2,4283,8566
Greatest Common Factor
We found the factors 786,8566 . The biggest common factor number is the GCF number.
So the greatest common factor 786,8566 is 2.
Lets's calculate LCM of 504,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 70056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70056
Therefore, the GCF of Fractions 786/504,8566/139 is 2/70056
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 504,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,139) x common factors =1 x 1 = 1
LCM(504,139) = ( 504 × 139 ) / 1
LCM(504,139) = 70056 / 1
LCM(504,139) = 70056
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 786/504, 8566/139?
Answer: GCF of Numerators as per given numbers 786/504, 8566/139 is
GCF of Numerators i.e. for 786,8566 is 2
LCM of denominators i.e. for 504,139 is 70056.
Thus, GCF of Fractions is 2/70056.Finally, GCF of Fractions for 786/504, 8566/139 is 2/70056.