Use our free GCF of Fractions Calculator tool to compute the GCF of 553/220, 786/709 i.e 1/155980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/220, 786/709.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/220,786/709
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 553/220,786/709, numerators are 553,786
Denominators are 220,709
The GCF of 553,786 is 1 .
LCM of 220,709 is 155980.
The greatest common factor of 553/220,786/709 = [GCF of 553,786]/[LCM of 220,709]= 1/155980
Therefore, the GCF of 553/220,786/709 is 1/155980.
To find the highest common factor of 553,786, 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 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 553,786 is 1.
Lets's calculate GCF of 553,786
∴ 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 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 553,786 . The biggest common factor number is the GCF number.
So the greatest common factor 553,786 is 1.
Lets's calculate LCM of 220,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 155980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155980
Therefore, the GCF of Fractions 553/220,786/709 is 1/155980
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 220,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,709) x common factors =1 x 1 = 1
LCM(220,709) = ( 220 × 709 ) / 1
LCM(220,709) = 155980 / 1
LCM(220,709) = 155980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 553,786?
The HCF of 553,786 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 553/220, 786/709?
Answer: GCF of Numerators as per given numbers 553/220, 786/709 is
GCF of Numerators i.e. for 553,786 is 1
LCM of denominators i.e. for 220,709 is 155980.
Thus, GCF of Fractions is 1/155980.Finally, GCF of Fractions for 553/220, 786/709 is 1/155980.