Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7644/429,9578/242
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 7644,9578
Greatest Common Factor of Numerators i.e. GCF of 7644,9578 is 2 .
LCM of Denominators means LCM of 429,242 as per the given fractions.
LCM of 429,242 is 9438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7644,9578
2 | 7644, 9578 |
3822, 4789 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7644
List of positive integer factors of 7644 that divides 7644 without a remainder.
1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1,2,4789,9578
Greatest Common Factor
We found the factors 7644,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,9578 is 2.
Lets's calculate LCM of 429,242
11 | 429, 242 |
39, 22 |
∴ So the LCM of the given numbers is 11 x 39 x 22 = 9438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9438
Therefore, the GCF of Fractions 7644/429,9578/242 is 2/9438
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 429,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,242) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(429,242) x common factors =11 x 1 = 11
LCM(429,242) = ( 429 × 242 ) / 11
LCM(429,242) = 103818 / 11
LCM(429,242) = 9438
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 7644/429, 9578/242?
Answer: GCF of Numerators as per given numbers 7644/429, 9578/242 is
GCF of Numerators i.e. for 7644,9578 is 2
LCM of denominators i.e. for 429,242 is 9438.
Thus, GCF of Fractions is 2/9438.Finally, GCF of Fractions for 7644/429, 9578/242 is 2/9438.