Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 468/973,947/300,776/336
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 468,947,776
Greatest Common Factor of Numerators i.e. GCF of 468,947,776 is 1 .
LCM of Denominators means LCM of 973,300,336 as per the given fractions.
LCM of 973,300,336 is 1167600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 468,947,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 468,947,776 . The biggest common factor number is the GCF number.
So the greatest common factor 468,947,776 is 1.
Lets's calculate LCM of 973,300,336
2 | 973, 300, 336 |
2 | 973, 150, 168 |
3 | 973, 75, 84 |
7 | 973, 25, 28 |
139, 25, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 139 x 25 x 4 = 1167600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1167600
Therefore, the GCF of Fractions 468/973,947/300,776/336 is 1/1167600
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 973,300,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,300,336) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(973,300,336) x common factors =1 x 84 = 84
LCM(973,300,336) = ( 973 × 300 × 336 ) / 84
LCM(973,300,336) = 98078400 / 84
LCM(973,300,336) = 1167600
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 468/973, 947/300, 776/336?
Answer: GCF of Numerators as per given numbers 468/973, 947/300, 776/336 is
GCF of Numerators i.e. for 468,947,776 is 1
LCM of denominators i.e. for 973,300,336 is 1167600.
Thus, GCF of Fractions is 1/1167600.Finally, GCF of Fractions for 468/973, 947/300, 776/336 is 1/1167600.