Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/87,862/92,693/933
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 967,862,693
Greatest Common Factor of Numerators i.e. GCF of 967,862,693 is 1 .
LCM of Denominators means LCM of 87,92,933 as per the given fractions.
LCM of 87,92,933 is 2489244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 967,862,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 967,862,693 . The biggest common factor number is the GCF number.
So the greatest common factor 967,862,693 is 1.
Lets's calculate LCM of 87,92,933
3 | 87, 92, 933 |
29, 92, 311 |
∴ So the LCM of the given numbers is 3 x 29 x 92 x 311 = 2489244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489244
Therefore, the GCF of Fractions 967/87,862/92,693/933 is 1/2489244
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 87,92,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,92,933) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,92,933) x common factors =1 x 3 = 3
LCM(87,92,933) = ( 87 × 92 × 933 ) / 3
LCM(87,92,933) = 7467732 / 3
LCM(87,92,933) = 2489244
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 967/87, 862/92, 693/933?
Answer: GCF of Numerators as per given numbers 967/87, 862/92, 693/933 is
GCF of Numerators i.e. for 967,862,693 is 1
LCM of denominators i.e. for 87,92,933 is 2489244.
Thus, GCF of Fractions is 1/2489244.Finally, GCF of Fractions for 967/87, 862/92, 693/933 is 1/2489244.