Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/230,156/771,638/699
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 842,156,638
Greatest Common Factor of Numerators i.e. GCF of 842,156,638 is 2 .
LCM of Denominators means LCM of 230,771,699 as per the given fractions.
LCM of 230,771,699 is 41317890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 842,156,638
2 | 842, 156, 638 |
421, 78, 319 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 842,156,638 . The biggest common factor number is the GCF number.
So the greatest common factor 842,156,638 is 2.
Lets's calculate LCM of 230,771,699
3 | 230, 771, 699 |
230, 257, 233 |
∴ So the LCM of the given numbers is 3 x 230 x 257 x 233 = 41317890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41317890
Therefore, the GCF of Fractions 842/230,156/771,638/699 is 2/41317890
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 230,771,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,771,699) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(230,771,699) x common factors =1 x 3 = 3
LCM(230,771,699) = ( 230 × 771 × 699 ) / 3
LCM(230,771,699) = 123953670 / 3
LCM(230,771,699) = 41317890
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 842/230, 156/771, 638/699?
Answer: GCF of Numerators as per given numbers 842/230, 156/771, 638/699 is
GCF of Numerators i.e. for 842,156,638 is 2
LCM of denominators i.e. for 230,771,699 is 41317890.
Thus, GCF of Fractions is 2/41317890.Finally, GCF of Fractions for 842/230, 156/771, 638/699 is 2/41317890.