Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/167,73/534,774/690
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 74,73,774
Greatest Common Factor of Numerators i.e. GCF of 74,73,774 is 1 .
LCM of Denominators means LCM of 167,534,690 as per the given fractions.
LCM of 167,534,690 is 10255470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 74,73,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
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 74,73,774 . The biggest common factor number is the GCF number.
So the greatest common factor 74,73,774 is 1.
Lets's calculate LCM of 167,534,690
2 | 167, 534, 690 |
3 | 167, 267, 345 |
167, 89, 115 |
∴ So the LCM of the given numbers is 2 x 3 x 167 x 89 x 115 = 10255470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10255470
Therefore, the GCF of Fractions 74/167,73/534,774/690 is 1/10255470
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 167,534,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,534,690) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(167,534,690) x common factors =1 x 6 = 6
LCM(167,534,690) = ( 167 × 534 × 690 ) / 6
LCM(167,534,690) = 61532820 / 6
LCM(167,534,690) = 10255470
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 74/167, 73/534, 774/690?
Answer: GCF of Numerators as per given numbers 74/167, 73/534, 774/690 is
GCF of Numerators i.e. for 74,73,774 is 1
LCM of denominators i.e. for 167,534,690 is 10255470.
Thus, GCF of Fractions is 1/10255470.Finally, GCF of Fractions for 74/167, 73/534, 774/690 is 1/10255470.