Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1609/508,7612/552
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 1609,7612
Greatest Common Factor of Numerators i.e. GCF of 1609,7612 is 1 .
LCM of Denominators means LCM of 508,552 as per the given fractions.
LCM of 508,552 is 70104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1609,7612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1609
List of positive integer factors of 1609 that divides 1609 without a remainder.
1,1609
Factors of 7612
List of positive integer factors of 7612 that divides 7612 without a remainder.
1,2,4,11,22,44,173,346,692,1903,3806,7612
Greatest Common Factor
We found the factors 1609,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 1609,7612 is 1.
Lets's calculate LCM of 508,552
2 | 508, 552 |
2 | 254, 276 |
127, 138 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 138 = 70104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70104
Therefore, the GCF of Fractions 1609/508,7612/552 is 1/70104
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 508,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,552) x common factors =4 x 1 = 4
LCM(508,552) = ( 508 × 552 ) / 4
LCM(508,552) = 280416 / 4
LCM(508,552) = 70104
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 1609/508, 7612/552?
Answer: GCF of Numerators as per given numbers 1609/508, 7612/552 is
GCF of Numerators i.e. for 1609,7612 is 1
LCM of denominators i.e. for 508,552 is 70104.
Thus, GCF of Fractions is 1/70104.Finally, GCF of Fractions for 1609/508, 7612/552 is 1/70104.