Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/32,623/31,723/830
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 955,623,723
Greatest Common Factor of Numerators i.e. GCF of 955,623,723 is 1 .
LCM of Denominators means LCM of 32,31,830 as per the given fractions.
LCM of 32,31,830 is 411680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,623,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 955,623,723 . The biggest common factor number is the GCF number.
So the greatest common factor 955,623,723 is 1.
Lets's calculate LCM of 32,31,830
2 | 32, 31, 830 |
16, 31, 415 |
∴ So the LCM of the given numbers is 2 x 16 x 31 x 415 = 411680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411680
Therefore, the GCF of Fractions 955/32,623/31,723/830 is 1/411680
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 32,31,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,31,830) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,31,830) x common factors =1 x 2 = 2
LCM(32,31,830) = ( 32 × 31 × 830 ) / 2
LCM(32,31,830) = 823360 / 2
LCM(32,31,830) = 411680
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 955/32, 623/31, 723/830?
Answer: GCF of Numerators as per given numbers 955/32, 623/31, 723/830 is
GCF of Numerators i.e. for 955,623,723 is 1
LCM of denominators i.e. for 32,31,830 is 411680.
Thus, GCF of Fractions is 1/411680.Finally, GCF of Fractions for 955/32, 623/31, 723/830 is 1/411680.