Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9460/176,3691/753
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 9460,3691
Greatest Common Factor of Numerators i.e. GCF of 9460,3691 is 1 .
LCM of Denominators means LCM of 176,753 as per the given fractions.
LCM of 176,753 is 132528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9460,3691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9460
List of positive integer factors of 9460 that divides 9460 without a remainder.
1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460
Factors of 3691
List of positive integer factors of 3691 that divides 3691 without a remainder.
1,3691
Greatest Common Factor
We found the factors 9460,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 9460,3691 is 1.
Lets's calculate LCM of 176,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 132528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132528
Therefore, the GCF of Fractions 9460/176,3691/753 is 1/132528
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 176,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,753) x common factors =1 x 1 = 1
LCM(176,753) = ( 176 × 753 ) / 1
LCM(176,753) = 132528 / 1
LCM(176,753) = 132528
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 9460/176, 3691/753?
Answer: GCF of Numerators as per given numbers 9460/176, 3691/753 is
GCF of Numerators i.e. for 9460,3691 is 1
LCM of denominators i.e. for 176,753 is 132528.
Thus, GCF of Fractions is 1/132528.Finally, GCF of Fractions for 9460/176, 3691/753 is 1/132528.