Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/906,128/370,912/666
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 985,128,912
Greatest Common Factor of Numerators i.e. GCF of 985,128,912 is 1 .
LCM of Denominators means LCM of 906,370,666 as per the given fractions.
LCM of 906,370,666 is 502830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,128,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 985,128,912 . The biggest common factor number is the GCF number.
So the greatest common factor 985,128,912 is 1.
Lets's calculate LCM of 906,370,666
2 | 906, 370, 666 |
3 | 453, 185, 333 |
37 | 151, 185, 111 |
151, 5, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 151 x 5 x 3 = 502830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502830
Therefore, the GCF of Fractions 985/906,128/370,912/666 is 1/502830
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 906,370,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,370,666) = 2
common factors(in case of two or more numbers have common factors) = 222
GCF(906,370,666) x common factors =2 x 222 = 444
LCM(906,370,666) = ( 906 × 370 × 666 ) / 444
LCM(906,370,666) = 223256520 / 444
LCM(906,370,666) = 502830
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 985/906, 128/370, 912/666?
Answer: GCF of Numerators as per given numbers 985/906, 128/370, 912/666 is
GCF of Numerators i.e. for 985,128,912 is 1
LCM of denominators i.e. for 906,370,666 is 502830.
Thus, GCF of Fractions is 1/502830.Finally, GCF of Fractions for 985/906, 128/370, 912/666 is 1/502830.