Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7924/951,4284/682
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 7924,4284
Greatest Common Factor of Numerators i.e. GCF of 7924,4284 is 28 .
LCM of Denominators means LCM of 951,682 as per the given fractions.
LCM of 951,682 is 648582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7924,4284
2 | 7924, 4284 |
2 | 3962, 2142 |
7 | 1981, 1071 |
283, 153 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Factors of 7924
List of positive integer factors of 7924 that divides 7924 without a remainder.
1,2,4,7,14,28,283,566,1132,1981,3962,7924
Factors of 4284
List of positive integer factors of 4284 that divides 4284 without a remainder.
1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Greatest Common Factor
We found the factors 7924,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,4284 is 28.
Lets's calculate LCM of 951,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 648582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/648582
Therefore, the GCF of Fractions 7924/951,4284/682 is 28/648582
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 951,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,682) x common factors =1 x 1 = 1
LCM(951,682) = ( 951 × 682 ) / 1
LCM(951,682) = 648582 / 1
LCM(951,682) = 648582
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 7924/951, 4284/682?
Answer: GCF of Numerators as per given numbers 7924/951, 4284/682 is
GCF of Numerators i.e. for 7924,4284 is 28
LCM of denominators i.e. for 951,682 is 648582.
Thus, GCF of Fractions is 28/648582.Finally, GCF of Fractions for 7924/951, 4284/682 is 28/648582.