Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 969/953,7311/164
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 969,7311
Greatest Common Factor of Numerators i.e. GCF of 969,7311 is 3 .
LCM of Denominators means LCM of 953,164 as per the given fractions.
LCM of 953,164 is 156292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 969,7311
3 | 969, 7311 |
323, 2437 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 7311
List of positive integer factors of 7311 that divides 7311 without a remainder.
1,3,2437,7311
Greatest Common Factor
We found the factors 969,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 969,7311 is 3.
Lets's calculate LCM of 953,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 156292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156292
Therefore, the GCF of Fractions 969/953,7311/164 is 3/156292
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 953,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,164) x common factors =1 x 1 = 1
LCM(953,164) = ( 953 × 164 ) / 1
LCM(953,164) = 156292 / 1
LCM(953,164) = 156292
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 969/953, 7311/164?
Answer: GCF of Numerators as per given numbers 969/953, 7311/164 is
GCF of Numerators i.e. for 969,7311 is 3
LCM of denominators i.e. for 953,164 is 156292.
Thus, GCF of Fractions is 3/156292.Finally, GCF of Fractions for 969/953, 7311/164 is 3/156292.