Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/42,209/30,634/432
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 979,209,634
Greatest Common Factor of Numerators i.e. GCF of 979,209,634 is 1 .
LCM of Denominators means LCM of 42,30,432 as per the given fractions.
LCM of 42,30,432 is 15120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 979,209,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 979,209,634 . The biggest common factor number is the GCF number.
So the greatest common factor 979,209,634 is 1.
Lets's calculate LCM of 42,30,432
2 | 42, 30, 432 |
3 | 21, 15, 216 |
7, 5, 72 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 72 = 15120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15120
Therefore, the GCF of Fractions 979/42,209/30,634/432 is 1/15120
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 42,30,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,30,432) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(42,30,432) x common factors =6 x 6 = 36
LCM(42,30,432) = ( 42 × 30 × 432 ) / 36
LCM(42,30,432) = 544320 / 36
LCM(42,30,432) = 15120
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 979/42, 209/30, 634/432?
Answer: GCF of Numerators as per given numbers 979/42, 209/30, 634/432 is
GCF of Numerators i.e. for 979,209,634 is 1
LCM of denominators i.e. for 42,30,432 is 15120.
Thus, GCF of Fractions is 1/15120.Finally, GCF of Fractions for 979/42, 209/30, 634/432 is 1/15120.