Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/156,479/530
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 925,479
Greatest Common Factor of Numerators i.e. GCF of 925,479 is 1 .
LCM of Denominators means LCM of 156,530 as per the given fractions.
LCM of 156,530 is 41340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 925,479 . The biggest common factor number is the GCF number.
So the greatest common factor 925,479 is 1.
Lets's calculate LCM of 156,530
2 | 156, 530 |
78, 265 |
∴ So the LCM of the given numbers is 2 x 78 x 265 = 41340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41340
Therefore, the GCF of Fractions 925/156,479/530 is 1/41340
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 156,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,530) x common factors =2 x 1 = 2
LCM(156,530) = ( 156 × 530 ) / 2
LCM(156,530) = 82680 / 2
LCM(156,530) = 41340
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 925/156, 479/530?
Answer: GCF of Numerators as per given numbers 925/156, 479/530 is
GCF of Numerators i.e. for 925,479 is 1
LCM of denominators i.e. for 156,530 is 41340.
Thus, GCF of Fractions is 1/41340.Finally, GCF of Fractions for 925/156, 479/530 is 1/41340.