Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/842,913/745,379/719
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 876,913,379
Greatest Common Factor of Numerators i.e. GCF of 876,913,379 is 1 .
LCM of Denominators means LCM of 842,745,719 as per the given fractions.
LCM of 842,745,719 is 451021510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 876,913,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 876,913,379 . The biggest common factor number is the GCF number.
So the greatest common factor 876,913,379 is 1.
Lets's calculate LCM of 842,745,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 451021510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451021510
Therefore, the GCF of Fractions 876/842,913/745,379/719 is 1/451021510
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 842,745,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,745,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,745,719) x common factors =1 x 1 = 1
LCM(842,745,719) = ( 842 × 745 × 719 ) / 1
LCM(842,745,719) = 451021510 / 1
LCM(842,745,719) = 451021510
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 876/842, 913/745, 379/719?
Answer: GCF of Numerators as per given numbers 876/842, 913/745, 379/719 is
GCF of Numerators i.e. for 876,913,379 is 1
LCM of denominators i.e. for 842,745,719 is 451021510.
Thus, GCF of Fractions is 1/451021510.Finally, GCF of Fractions for 876/842, 913/745, 379/719 is 1/451021510.