Use our free GCF of Fractions Calculator tool to compute the GCF of 210/49, 653/783 i.e 1/38367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/49, 653/783.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/49,653/783
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 210/49,653/783, numerators are 210,653
Denominators are 49,783
The GCF of 210,653 is 1 .
LCM of 49,783 is 38367.
The greatest common factor of 210/49,653/783 = [GCF of 210,653]/[LCM of 49,783]= 1/38367
Therefore, the GCF of 210/49,653/783 is 1/38367.
To find the highest common factor of 210,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 653 are 1, 653
The HCF of 210,653 is 1.
Lets's calculate GCF of 210,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 210,653 . The biggest common factor number is the GCF number.
So the greatest common factor 210,653 is 1.
Lets's calculate LCM of 49,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 38367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38367
Therefore, the GCF of Fractions 210/49,653/783 is 1/38367
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 49,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,783) x common factors =1 x 1 = 1
LCM(49,783) = ( 49 × 783 ) / 1
LCM(49,783) = 38367 / 1
LCM(49,783) = 38367
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 210,653?
The HCF of 210,653 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 210/49, 653/783?
Answer: GCF of Numerators as per given numbers 210/49, 653/783 is
GCF of Numerators i.e. for 210,653 is 1
LCM of denominators i.e. for 49,783 is 38367.
Thus, GCF of Fractions is 1/38367.Finally, GCF of Fractions for 210/49, 653/783 is 1/38367.