Use our free GCF of Fractions Calculator tool to compute the GCF of 220/983, 740/456 i.e 20/448248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/983, 740/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/983,740/456
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 220/983,740/456, numerators are 220,740
Denominators are 983,456
The GCF of 220,740 is 20 .
LCM of 983,456 is 448248.
The greatest common factor of 220/983,740/456 = [GCF of 220,740]/[LCM of 983,456]= 20/448248
Therefore, the GCF of 220/983,740/456 is 20/448248.
To find the highest common factor of 220,740, 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 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 220,740 is 20.
Lets's calculate GCF of 220,740
2 | 220, 740 |
2 | 110, 370 |
5 | 55, 185 |
11, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
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 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 220,740 . The biggest common factor number is the GCF number.
So the greatest common factor 220,740 is 20.
Lets's calculate LCM of 983,456
Given numbers has no common factors except 1. So, there LCM is their product i.e 448248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/448248
Therefore, the GCF of Fractions 220/983,740/456 is 20/448248
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 983,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,456) x common factors =1 x 1 = 1
LCM(983,456) = ( 983 × 456 ) / 1
LCM(983,456) = 448248 / 1
LCM(983,456) = 448248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,740?
The HCF of 220,740 is 20
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 220/983, 740/456?
Answer: GCF of Numerators as per given numbers 220/983, 740/456 is
GCF of Numerators i.e. for 220,740 is 20
LCM of denominators i.e. for 983,456 is 448248.
Thus, GCF of Fractions is 20/448248.Finally, GCF of Fractions for 220/983, 740/456 is 20/448248.