Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 160/72,768/76,822/285
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 160,768,822
Greatest Common Factor of Numerators i.e. GCF of 160,768,822 is 2 .
LCM of Denominators means LCM of 72,76,285 as per the given fractions.
LCM of 72,76,285 is 6840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 160,768,822
2 | 160, 768, 822 |
80, 384, 411 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
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 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 160,768,822 . The biggest common factor number is the GCF number.
So the greatest common factor 160,768,822 is 2.
Lets's calculate LCM of 72,76,285
2 | 72, 76, 285 |
2 | 36, 38, 285 |
3 | 18, 19, 285 |
19 | 6, 19, 95 |
6, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 6 x 1 x 5 = 6840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6840
Therefore, the GCF of Fractions 160/72,768/76,822/285 is 2/6840
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 72,76,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,76,285) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(72,76,285) x common factors =1 x 228 = 228
LCM(72,76,285) = ( 72 × 76 × 285 ) / 228
LCM(72,76,285) = 1559520 / 228
LCM(72,76,285) = 6840
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 160/72, 768/76, 822/285?
Answer: GCF of Numerators as per given numbers 160/72, 768/76, 822/285 is
GCF of Numerators i.e. for 160,768,822 is 2
LCM of denominators i.e. for 72,76,285 is 6840.
Thus, GCF of Fractions is 2/6840.Finally, GCF of Fractions for 160/72, 768/76, 822/285 is 2/6840.