Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/802,604/760,774/989
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 554,604,774
Greatest Common Factor of Numerators i.e. GCF of 554,604,774 is 2 .
LCM of Denominators means LCM of 802,760,989 as per the given fractions.
LCM of 802,760,989 is 301407640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,604,774
2 | 554, 604, 774 |
277, 302, 387 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 554,604,774 . The biggest common factor number is the GCF number.
So the greatest common factor 554,604,774 is 2.
Lets's calculate LCM of 802,760,989
2 | 802, 760, 989 |
401, 380, 989 |
∴ So the LCM of the given numbers is 2 x 401 x 380 x 989 = 301407640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/301407640
Therefore, the GCF of Fractions 554/802,604/760,774/989 is 2/301407640
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 802,760,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,760,989) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(802,760,989) x common factors =1 x 2 = 2
LCM(802,760,989) = ( 802 × 760 × 989 ) / 2
LCM(802,760,989) = 602815280 / 2
LCM(802,760,989) = 301407640
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 554/802, 604/760, 774/989?
Answer: GCF of Numerators as per given numbers 554/802, 604/760, 774/989 is
GCF of Numerators i.e. for 554,604,774 is 2
LCM of denominators i.e. for 802,760,989 is 301407640.
Thus, GCF of Fractions is 2/301407640.Finally, GCF of Fractions for 554/802, 604/760, 774/989 is 2/301407640.