Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/747,1582/611
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 334,1582
Greatest Common Factor of Numerators i.e. GCF of 334,1582 is 2 .
LCM of Denominators means LCM of 747,611 as per the given fractions.
LCM of 747,611 is 456417 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 334,1582
2 | 334, 1582 |
167, 791 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 1582
List of positive integer factors of 1582 that divides 1582 without a remainder.
1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors 334,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 334,1582 is 2.
Lets's calculate LCM of 747,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 456417
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456417
Therefore, the GCF of Fractions 334/747,1582/611 is 2/456417
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 747,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,611) x common factors =1 x 1 = 1
LCM(747,611) = ( 747 × 611 ) / 1
LCM(747,611) = 456417 / 1
LCM(747,611) = 456417
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 334/747, 1582/611?
Answer: GCF of Numerators as per given numbers 334/747, 1582/611 is
GCF of Numerators i.e. for 334,1582 is 2
LCM of denominators i.e. for 747,611 is 456417.
Thus, GCF of Fractions is 2/456417.Finally, GCF of Fractions for 334/747, 1582/611 is 2/456417.