Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/647,6767/776
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 434,6767
Greatest Common Factor of Numerators i.e. GCF of 434,6767 is 1 .
LCM of Denominators means LCM of 647,776 as per the given fractions.
LCM of 647,776 is 502072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 434,6767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 6767
List of positive integer factors of 6767 that divides 6767 without a remainder.
1,67,101,6767
Greatest Common Factor
We found the factors 434,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 434,6767 is 1.
Lets's calculate LCM of 647,776
Given numbers has no common factors except 1. So, there LCM is their product i.e 502072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502072
Therefore, the GCF of Fractions 434/647,6767/776 is 1/502072
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 647,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,776) x common factors =1 x 1 = 1
LCM(647,776) = ( 647 × 776 ) / 1
LCM(647,776) = 502072 / 1
LCM(647,776) = 502072
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 434/647, 6767/776?
Answer: GCF of Numerators as per given numbers 434/647, 6767/776 is
GCF of Numerators i.e. for 434,6767 is 1
LCM of denominators i.e. for 647,776 is 502072.
Thus, GCF of Fractions is 1/502072.Finally, GCF of Fractions for 434/647, 6767/776 is 1/502072.