Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/182,849/127,292/910
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 352,849,292
Greatest Common Factor of Numerators i.e. GCF of 352,849,292 is 1 .
LCM of Denominators means LCM of 182,127,910 as per the given fractions.
LCM of 182,127,910 is 115570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 352,849,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 352,849,292 . The biggest common factor number is the GCF number.
So the greatest common factor 352,849,292 is 1.
Lets's calculate LCM of 182,127,910
2 | 182, 127, 910 |
7 | 91, 127, 455 |
13 | 13, 127, 65 |
1, 127, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 127 x 5 = 115570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115570
Therefore, the GCF of Fractions 352/182,849/127,292/910 is 1/115570
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 182,127,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,127,910) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(182,127,910) x common factors =1 x 182 = 182
LCM(182,127,910) = ( 182 × 127 × 910 ) / 182
LCM(182,127,910) = 21033740 / 182
LCM(182,127,910) = 115570
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 352/182, 849/127, 292/910?
Answer: GCF of Numerators as per given numbers 352/182, 849/127, 292/910 is
GCF of Numerators i.e. for 352,849,292 is 1
LCM of denominators i.e. for 182,127,910 is 115570.
Thus, GCF of Fractions is 1/115570.Finally, GCF of Fractions for 352/182, 849/127, 292/910 is 1/115570.