Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/676,114/827
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 787,114
Greatest Common Factor of Numerators i.e. GCF of 787,114 is 1 .
LCM of Denominators means LCM of 676,827 as per the given fractions.
LCM of 676,827 is 559052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 787,114 . The biggest common factor number is the GCF number.
So the greatest common factor 787,114 is 1.
Lets's calculate LCM of 676,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 559052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559052
Therefore, the GCF of Fractions 787/676,114/827 is 1/559052
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 676,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,827) x common factors =1 x 1 = 1
LCM(676,827) = ( 676 × 827 ) / 1
LCM(676,827) = 559052 / 1
LCM(676,827) = 559052
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 787/676, 114/827?
Answer: GCF of Numerators as per given numbers 787/676, 114/827 is
GCF of Numerators i.e. for 787,114 is 1
LCM of denominators i.e. for 676,827 is 559052.
Thus, GCF of Fractions is 1/559052.Finally, GCF of Fractions for 787/676, 114/827 is 1/559052.