Use our free GCF of Fractions Calculator tool to compute the GCF of 553/681, 648/191 i.e 1/130071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/681, 648/191.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/681,648/191
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 553/681,648/191, numerators are 553,648
Denominators are 681,191
The GCF of 553,648 is 1 .
LCM of 681,191 is 130071.
The greatest common factor of 553/681,648/191 = [GCF of 553,648]/[LCM of 681,191]= 1/130071
Therefore, the GCF of 553/681,648/191 is 1/130071.
To find the highest common factor of 553,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 553 are 1, 7, 79, 553
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 553,648 is 1.
Lets's calculate GCF of 553,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 553
:1,7,79,553
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 553,648 . The biggest common factor number is the GCF number.
So the greatest common factor 553,648 is 1.
Lets's calculate LCM of 681,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 130071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130071
Therefore, the GCF of Fractions 553/681,648/191 is 1/130071
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 681,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,191) x common factors =1 x 1 = 1
LCM(681,191) = ( 681 × 191 ) / 1
LCM(681,191) = 130071 / 1
LCM(681,191) = 130071
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 553,648?
The HCF of 553,648 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 553/681, 648/191?
Answer: GCF of Numerators as per given numbers 553/681, 648/191 is
GCF of Numerators i.e. for 553,648 is 1
LCM of denominators i.e. for 681,191 is 130071.
Thus, GCF of Fractions is 1/130071.Finally, GCF of Fractions for 553/681, 648/191 is 1/130071.