Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 767/30,565/74,501/572
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 767,565,501
Greatest Common Factor of Numerators i.e. GCF of 767,565,501 is 1 .
LCM of Denominators means LCM of 30,74,572 as per the given fractions.
LCM of 30,74,572 is 317460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 767,565,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 767,565,501 . The biggest common factor number is the GCF number.
So the greatest common factor 767,565,501 is 1.
Lets's calculate LCM of 30,74,572
2 | 30, 74, 572 |
15, 37, 286 |
∴ So the LCM of the given numbers is 2 x 15 x 37 x 286 = 317460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317460
Therefore, the GCF of Fractions 767/30,565/74,501/572 is 1/317460
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 30,74,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,74,572) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(30,74,572) x common factors =2 x 2 = 4
LCM(30,74,572) = ( 30 × 74 × 572 ) / 4
LCM(30,74,572) = 1269840 / 4
LCM(30,74,572) = 317460
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 767/30, 565/74, 501/572?
Answer: GCF of Numerators as per given numbers 767/30, 565/74, 501/572 is
GCF of Numerators i.e. for 767,565,501 is 1
LCM of denominators i.e. for 30,74,572 is 317460.
Thus, GCF of Fractions is 1/317460.Finally, GCF of Fractions for 767/30, 565/74, 501/572 is 1/317460.