Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 431/92,632/6304
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 431,632
Greatest Common Factor of Numerators i.e. GCF of 431,632 is 1 .
LCM of Denominators means LCM of 92,6304 as per the given fractions.
LCM of 92,6304 is 144992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 431,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 431,632 . The biggest common factor number is the GCF number.
So the greatest common factor 431,632 is 1.
Lets's calculate LCM of 92,6304
2 | 92, 6304 |
2 | 46, 3152 |
23, 1576 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1576 = 144992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144992
Therefore, the GCF of Fractions 431/92,632/6304 is 1/144992
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 92,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,6304) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,6304) x common factors =4 x 1 = 4
LCM(92,6304) = ( 92 × 6304 ) / 4
LCM(92,6304) = 579968 / 4
LCM(92,6304) = 144992
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 431/92, 632/6304?
Answer: GCF of Numerators as per given numbers 431/92, 632/6304 is
GCF of Numerators i.e. for 431,632 is 1
LCM of denominators i.e. for 92,6304 is 144992.
Thus, GCF of Fractions is 1/144992.Finally, GCF of Fractions for 431/92, 632/6304 is 1/144992.