Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 742/226,336/770,507/809
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 742,336,507
Greatest Common Factor of Numerators i.e. GCF of 742,336,507 is 1 .
LCM of Denominators means LCM of 226,770,809 as per the given fractions.
LCM of 226,770,809 is 70391090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 742,336,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 742,336,507 . The biggest common factor number is the GCF number.
So the greatest common factor 742,336,507 is 1.
Lets's calculate LCM of 226,770,809
2 | 226, 770, 809 |
113, 385, 809 |
∴ So the LCM of the given numbers is 2 x 113 x 385 x 809 = 70391090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70391090
Therefore, the GCF of Fractions 742/226,336/770,507/809 is 1/70391090
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 226,770,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,770,809) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(226,770,809) x common factors =1 x 2 = 2
LCM(226,770,809) = ( 226 × 770 × 809 ) / 2
LCM(226,770,809) = 140782180 / 2
LCM(226,770,809) = 70391090
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 742/226, 336/770, 507/809?
Answer: GCF of Numerators as per given numbers 742/226, 336/770, 507/809 is
GCF of Numerators i.e. for 742,336,507 is 1
LCM of denominators i.e. for 226,770,809 is 70391090.
Thus, GCF of Fractions is 1/70391090.Finally, GCF of Fractions for 742/226, 336/770, 507/809 is 1/70391090.