Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/74,97/40,29/506,949/379
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 1,97,29,949
Greatest Common Factor of Numerators i.e. GCF of 1,97,29,949 is 1 .
LCM of Denominators means LCM of 74,40,506,379 as per the given fractions.
LCM of 74,40,506,379 is 141912760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,97,29,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 1,97,29,949 . The biggest common factor number is the GCF number.
So the greatest common factor 1,97,29,949 is 1.
Lets's calculate LCM of 74,40,506,379
2 | 74, 40, 506, 379 |
37, 20, 253, 379 |
∴ So the LCM of the given numbers is 2 x 37 x 20 x 253 x 379 = 141912760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141912760
Therefore, the GCF of Fractions 1/74,97/40,29/506,949/379 is 1/141912760
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 74,40,506,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,40,506,379) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(74,40,506,379) x common factors =1 x 4 = 4
LCM(74,40,506,379) = ( 74 × 40 × 506 × 379 ) / 4
LCM(74,40,506,379) = 567651040 / 4
LCM(74,40,506,379) = 141912760
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 1/74, 97/40, 29/506, 949/379?
Answer: GCF of Numerators as per given numbers 1/74, 97/40, 29/506, 949/379 is
GCF of Numerators i.e. for 1,97,29,949 is 1
LCM of denominators i.e. for 74,40,506,379 is 141912760.
Thus, GCF of Fractions is 1/141912760.Finally, GCF of Fractions for 1/74, 97/40, 29/506, 949/379 is 1/141912760.