Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 688/99,1507/649
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 688,1507
Greatest Common Factor of Numerators i.e. GCF of 688,1507 is 1 .
LCM of Denominators means LCM of 99,649 as per the given fractions.
LCM of 99,649 is 5841 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 688,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 1507
List of positive integer factors of 1507 that divides 1507 without a remainder.
1,11,137,1507
Greatest Common Factor
We found the factors 688,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 688,1507 is 1.
Lets's calculate LCM of 99,649
11 | 99, 649 |
9, 59 |
∴ So the LCM of the given numbers is 11 x 9 x 59 = 5841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5841
Therefore, the GCF of Fractions 688/99,1507/649 is 1/5841
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 99,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,649) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(99,649) x common factors =11 x 1 = 11
LCM(99,649) = ( 99 × 649 ) / 11
LCM(99,649) = 64251 / 11
LCM(99,649) = 5841
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 688/99, 1507/649?
Answer: GCF of Numerators as per given numbers 688/99, 1507/649 is
GCF of Numerators i.e. for 688,1507 is 1
LCM of denominators i.e. for 99,649 is 5841.
Thus, GCF of Fractions is 1/5841.Finally, GCF of Fractions for 688/99, 1507/649 is 1/5841.