Use our free GCF of Fractions Calculator tool to compute the GCF of 220/707, 786/223 i.e 2/157661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/707, 786/223.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/707,786/223
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 220/707,786/223, numerators are 220,786
Denominators are 707,223
The GCF of 220,786 is 2 .
LCM of 707,223 is 157661.
The greatest common factor of 220/707,786/223 = [GCF of 220,786]/[LCM of 707,223]= 2/157661
Therefore, the GCF of 220/707,786/223 is 2/157661.
To find the highest common factor of 220,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 220,786 is 2.
Lets's calculate GCF of 220,786
2 | 220, 786 |
110, 393 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 220,786 . The biggest common factor number is the GCF number.
So the greatest common factor 220,786 is 2.
Lets's calculate LCM of 707,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 157661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157661
Therefore, the GCF of Fractions 220/707,786/223 is 2/157661
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 707,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,223) x common factors =1 x 1 = 1
LCM(707,223) = ( 707 × 223 ) / 1
LCM(707,223) = 157661 / 1
LCM(707,223) = 157661
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,786?
The HCF of 220,786 is 2
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 220/707, 786/223?
Answer: GCF of Numerators as per given numbers 220/707, 786/223 is
GCF of Numerators i.e. for 220,786 is 2
LCM of denominators i.e. for 707,223 is 157661.
Thus, GCF of Fractions is 2/157661.Finally, GCF of Fractions for 220/707, 786/223 is 2/157661.