Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/373,733/584,564/674
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 52,733,564
Greatest Common Factor of Numerators i.e. GCF of 52,733,564 is 1 .
LCM of Denominators means LCM of 373,584,674 as per the given fractions.
LCM of 373,584,674 is 73409384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,733,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 52,733,564 . The biggest common factor number is the GCF number.
So the greatest common factor 52,733,564 is 1.
Lets's calculate LCM of 373,584,674
2 | 373, 584, 674 |
373, 292, 337 |
∴ So the LCM of the given numbers is 2 x 373 x 292 x 337 = 73409384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73409384
Therefore, the GCF of Fractions 52/373,733/584,564/674 is 1/73409384
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 373,584,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,584,674) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(373,584,674) x common factors =1 x 2 = 2
LCM(373,584,674) = ( 373 × 584 × 674 ) / 2
LCM(373,584,674) = 146818768 / 2
LCM(373,584,674) = 73409384
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 52/373, 733/584, 564/674?
Answer: GCF of Numerators as per given numbers 52/373, 733/584, 564/674 is
GCF of Numerators i.e. for 52,733,564 is 1
LCM of denominators i.e. for 373,584,674 is 73409384.
Thus, GCF of Fractions is 1/73409384.Finally, GCF of Fractions for 52/373, 733/584, 564/674 is 1/73409384.