Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/606,126/754,486/904
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 88,126,486
Greatest Common Factor of Numerators i.e. GCF of 88,126,486 is 2 .
LCM of Denominators means LCM of 606,754,904 as per the given fractions.
LCM of 606,754,904 is 103264824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,126,486
2 | 88, 126, 486 |
44, 63, 243 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 88,126,486 . The biggest common factor number is the GCF number.
So the greatest common factor 88,126,486 is 2.
Lets's calculate LCM of 606,754,904
2 | 606, 754, 904 |
303, 377, 452 |
∴ So the LCM of the given numbers is 2 x 303 x 377 x 452 = 103264824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103264824
Therefore, the GCF of Fractions 88/606,126/754,486/904 is 2/103264824
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 606,754,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,754,904) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(606,754,904) x common factors =2 x 2 = 4
LCM(606,754,904) = ( 606 × 754 × 904 ) / 4
LCM(606,754,904) = 413059296 / 4
LCM(606,754,904) = 103264824
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 88/606, 126/754, 486/904?
Answer: GCF of Numerators as per given numbers 88/606, 126/754, 486/904 is
GCF of Numerators i.e. for 88,126,486 is 2
LCM of denominators i.e. for 606,754,904 is 103264824.
Thus, GCF of Fractions is 2/103264824.Finally, GCF of Fractions for 88/606, 126/754, 486/904 is 2/103264824.