Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/68,917/43,924/88
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 768,917,924
Greatest Common Factor of Numerators i.e. GCF of 768,917,924 is 1 .
LCM of Denominators means LCM of 68,43,88 as per the given fractions.
LCM of 68,43,88 is 64328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 768,917,924
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 768,917,924 . The biggest common factor number is the GCF number.
So the greatest common factor 768,917,924 is 1.
Lets's calculate LCM of 68,43,88
2 | 68, 43, 88 |
2 | 34, 43, 44 |
17, 43, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 43 x 22 = 64328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64328
Therefore, the GCF of Fractions 768/68,917/43,924/88 is 1/64328
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 68,43,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,43,88) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,43,88) x common factors =1 x 4 = 4
LCM(68,43,88) = ( 68 × 43 × 88 ) / 4
LCM(68,43,88) = 257312 / 4
LCM(68,43,88) = 64328
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 768/68, 917/43, 924/88?
Answer: GCF of Numerators as per given numbers 768/68, 917/43, 924/88 is
GCF of Numerators i.e. for 768,917,924 is 1
LCM of denominators i.e. for 68,43,88 is 64328.
Thus, GCF of Fractions is 1/64328.Finally, GCF of Fractions for 768/68, 917/43, 924/88 is 1/64328.