Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/887,746/864,971/536
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 926,746,971
Greatest Common Factor of Numerators i.e. GCF of 926,746,971 is 1 .
LCM of Denominators means LCM of 887,864,536 as per the given fractions.
LCM of 887,864,536 is 51346656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 926,746,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 926,746,971 . The biggest common factor number is the GCF number.
So the greatest common factor 926,746,971 is 1.
Lets's calculate LCM of 887,864,536
2 | 887, 864, 536 |
2 | 887, 432, 268 |
2 | 887, 216, 134 |
887, 108, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 887 x 108 x 67 = 51346656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51346656
Therefore, the GCF of Fractions 926/887,746/864,971/536 is 1/51346656
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 887,864,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,864,536) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(887,864,536) x common factors =1 x 8 = 8
LCM(887,864,536) = ( 887 × 864 × 536 ) / 8
LCM(887,864,536) = 410773248 / 8
LCM(887,864,536) = 51346656
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 926/887, 746/864, 971/536?
Answer: GCF of Numerators as per given numbers 926/887, 746/864, 971/536 is
GCF of Numerators i.e. for 926,746,971 is 1
LCM of denominators i.e. for 887,864,536 is 51346656.
Thus, GCF of Fractions is 1/51346656.Finally, GCF of Fractions for 926/887, 746/864, 971/536 is 1/51346656.