Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/1453,896/7919
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 879,896
Greatest Common Factor of Numerators i.e. GCF of 879,896 is 1 .
LCM of Denominators means LCM of 1453,7919 as per the given fractions.
LCM of 1453,7919 is 11506307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 879,896 . The biggest common factor number is the GCF number.
So the greatest common factor 879,896 is 1.
Lets's calculate LCM of 1453,7919
Given numbers has no common factors except 1. So, there LCM is their product i.e 11506307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11506307
Therefore, the GCF of Fractions 879/1453,896/7919 is 1/11506307
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 1453,7919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1453,7919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1453,7919) x common factors =1 x 1 = 1
LCM(1453,7919) = ( 1453 × 7919 ) / 1
LCM(1453,7919) = 11506307 / 1
LCM(1453,7919) = 11506307
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 879/1453, 896/7919?
Answer: GCF of Numerators as per given numbers 879/1453, 896/7919 is
GCF of Numerators i.e. for 879,896 is 1
LCM of denominators i.e. for 1453,7919 is 11506307.
Thus, GCF of Fractions is 1/11506307.Finally, GCF of Fractions for 879/1453, 896/7919 is 1/11506307.