Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/295,831/140,754/628
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 924,831,754
Greatest Common Factor of Numerators i.e. GCF of 924,831,754 is 1 .
LCM of Denominators means LCM of 295,140,628 as per the given fractions.
LCM of 295,140,628 is 1296820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 924,831,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 924,831,754 . The biggest common factor number is the GCF number.
So the greatest common factor 924,831,754 is 1.
Lets's calculate LCM of 295,140,628
2 | 295, 140, 628 |
2 | 295, 70, 314 |
5 | 295, 35, 157 |
59, 7, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 59 x 7 x 157 = 1296820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1296820
Therefore, the GCF of Fractions 924/295,831/140,754/628 is 1/1296820
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 295,140,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,140,628) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(295,140,628) x common factors =1 x 20 = 20
LCM(295,140,628) = ( 295 × 140 × 628 ) / 20
LCM(295,140,628) = 25936400 / 20
LCM(295,140,628) = 1296820
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 924/295, 831/140, 754/628?
Answer: GCF of Numerators as per given numbers 924/295, 831/140, 754/628 is
GCF of Numerators i.e. for 924,831,754 is 1
LCM of denominators i.e. for 295,140,628 is 1296820.
Thus, GCF of Fractions is 1/1296820.Finally, GCF of Fractions for 924/295, 831/140, 754/628 is 1/1296820.