Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/79,6200/951
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 955,6200
Greatest Common Factor of Numerators i.e. GCF of 955,6200 is 5 .
LCM of Denominators means LCM of 79,951 as per the given fractions.
LCM of 79,951 is 75129 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,6200
5 | 955, 6200 |
191, 1240 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 6200
List of positive integer factors of 6200 that divides 6200 without a remainder.
1,2,4,5,8,10,20,25,31,40,50,62,100,124,155,200,248,310,620,775,1240,1550,3100,6200
Greatest Common Factor
We found the factors 955,6200 . The biggest common factor number is the GCF number.
So the greatest common factor 955,6200 is 5.
Lets's calculate LCM of 79,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 75129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/75129
Therefore, the GCF of Fractions 955/79,6200/951 is 5/75129
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 79,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,951) x common factors =1 x 1 = 1
LCM(79,951) = ( 79 × 951 ) / 1
LCM(79,951) = 75129 / 1
LCM(79,951) = 75129
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 955/79, 6200/951?
Answer: GCF of Numerators as per given numbers 955/79, 6200/951 is
GCF of Numerators i.e. for 955,6200 is 5
LCM of denominators i.e. for 79,951 is 75129.
Thus, GCF of Fractions is 5/75129.Finally, GCF of Fractions for 955/79, 6200/951 is 5/75129.