Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 181/977,956/137,745/772
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 181,956,745
Greatest Common Factor of Numerators i.e. GCF of 181,956,745 is 1 .
LCM of Denominators means LCM of 977,137,772 as per the given fractions.
LCM of 977,137,772 is 103331428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 181,956,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 181,956,745 . The biggest common factor number is the GCF number.
So the greatest common factor 181,956,745 is 1.
Lets's calculate LCM of 977,137,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 103331428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103331428
Therefore, the GCF of Fractions 181/977,956/137,745/772 is 1/103331428
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 977,137,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,137,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,137,772) x common factors =1 x 1 = 1
LCM(977,137,772) = ( 977 × 137 × 772 ) / 1
LCM(977,137,772) = 103331428 / 1
LCM(977,137,772) = 103331428
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 181/977, 956/137, 745/772?
Answer: GCF of Numerators as per given numbers 181/977, 956/137, 745/772 is
GCF of Numerators i.e. for 181,956,745 is 1
LCM of denominators i.e. for 977,137,772 is 103331428.
Thus, GCF of Fractions is 1/103331428.Finally, GCF of Fractions for 181/977, 956/137, 745/772 is 1/103331428.