Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/417,646/697,762/819
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 70,646,762
Greatest Common Factor of Numerators i.e. GCF of 70,646,762 is 2 .
LCM of Denominators means LCM of 417,697,819 as per the given fractions.
LCM of 417,697,819 is 79347177 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,646,762
2 | 70, 646, 762 |
35, 323, 381 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 70,646,762 . The biggest common factor number is the GCF number.
So the greatest common factor 70,646,762 is 2.
Lets's calculate LCM of 417,697,819
3 | 417, 697, 819 |
139, 697, 273 |
∴ So the LCM of the given numbers is 3 x 139 x 697 x 273 = 79347177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79347177
Therefore, the GCF of Fractions 70/417,646/697,762/819 is 2/79347177
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 417,697,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,697,819) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(417,697,819) x common factors =1 x 3 = 3
LCM(417,697,819) = ( 417 × 697 × 819 ) / 3
LCM(417,697,819) = 238041531 / 3
LCM(417,697,819) = 79347177
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 70/417, 646/697, 762/819?
Answer: GCF of Numerators as per given numbers 70/417, 646/697, 762/819 is
GCF of Numerators i.e. for 70,646,762 is 2
LCM of denominators i.e. for 417,697,819 is 79347177.
Thus, GCF of Fractions is 2/79347177.Finally, GCF of Fractions for 70/417, 646/697, 762/819 is 2/79347177.