Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/710,3021/871
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 424,3021
Greatest Common Factor of Numerators i.e. GCF of 424,3021 is 53 .
LCM of Denominators means LCM of 710,871 as per the given fractions.
LCM of 710,871 is 618410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,3021
53 | 424, 3021 |
8, 57 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 3021
List of positive integer factors of 3021 that divides 3021 without a remainder.
1,3,19,53,57,159,1007,3021
Greatest Common Factor
We found the factors 424,3021 . The biggest common factor number is the GCF number.
So the greatest common factor 424,3021 is 53.
Lets's calculate LCM of 710,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 618410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/618410
Therefore, the GCF of Fractions 424/710,3021/871 is 53/618410
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 710,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,871) x common factors =1 x 1 = 1
LCM(710,871) = ( 710 × 871 ) / 1
LCM(710,871) = 618410 / 1
LCM(710,871) = 618410
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 424/710, 3021/871?
Answer: GCF of Numerators as per given numbers 424/710, 3021/871 is
GCF of Numerators i.e. for 424,3021 is 53
LCM of denominators i.e. for 710,871 is 618410.
Thus, GCF of Fractions is 53/618410.Finally, GCF of Fractions for 424/710, 3021/871 is 53/618410.