Use our free GCF of Fractions Calculator tool to compute the GCF of 5312/502, 8685/2547 i.e 1/1278594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5312/502, 8685/2547.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5312/502,8685/2547
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5312/502,8685/2547, numerators are 5312,8685
Denominators are 502,2547
The GCF of 5312,8685 is 1 .
LCM of 502,2547 is 1278594.
The greatest common factor of 5312/502,8685/2547 = [GCF of 5312,8685]/[LCM of 502,2547]= 1/1278594
Therefore, the GCF of 5312/502,8685/2547 is 1/1278594.
To find the highest common factor of 5312,8685, we have to find the factors of both numbers and list the highest common factor.
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685
The HCF of 5312,8685 is 1.
Lets's calculate GCF of 5312,8685
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Now, list down the factors of 8685
:1,3,5,9,15,45,193,579,965,1737,2895,8685
Greatest Common Factor
We found the factors 5312,8685 . The biggest common factor number is the GCF number.
So the greatest common factor 5312,8685 is 1.
Lets's calculate LCM of 502,2547
Given numbers has no common factors except 1. So, there LCM is their product i.e 1278594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1278594
Therefore, the GCF of Fractions 5312/502,8685/2547 is 1/1278594
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 502,2547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,2547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,2547) x common factors =1 x 1 = 1
LCM(502,2547) = ( 502 × 2547 ) / 1
LCM(502,2547) = 1278594 / 1
LCM(502,2547) = 1278594
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5312,8685?
The HCF of 5312,8685 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5312/502, 8685/2547?
Answer: GCF of Numerators as per given numbers 5312/502, 8685/2547 is
GCF of Numerators i.e. for 5312,8685 is 1
LCM of denominators i.e. for 502,2547 is 1278594.
Thus, GCF of Fractions is 1/1278594.Finally, GCF of Fractions for 5312/502, 8685/2547 is 1/1278594.