Use our free GCF of Fractions Calculator tool to compute the GCF of 890/732, 290/780 i.e 10/47580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/732, 290/780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/732,290/780
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 890/732,290/780, numerators are 890,290
Denominators are 732,780
The GCF of 890,290 is 10 .
LCM of 732,780 is 47580.
The greatest common factor of 890/732,290/780 = [GCF of 890,290]/[LCM of 732,780]= 10/47580
Therefore, the GCF of 890/732,290/780 is 10/47580.
To find the highest common factor of 890,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 890,290 is 10.
Lets's calculate GCF of 890,290
2 | 890, 290 |
5 | 445, 145 |
89, 29 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 890,290 . The biggest common factor number is the GCF number.
So the greatest common factor 890,290 is 10.
Lets's calculate LCM of 732,780
2 | 732, 780 |
2 | 366, 390 |
3 | 183, 195 |
61, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 65 = 47580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47580
Therefore, the GCF of Fractions 890/732,290/780 is 10/47580
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 732,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,780) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(732,780) x common factors =12 x 1 = 12
LCM(732,780) = ( 732 × 780 ) / 12
LCM(732,780) = 570960 / 12
LCM(732,780) = 47580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,290?
The HCF of 890,290 is 10
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 890/732, 290/780?
Answer: GCF of Numerators as per given numbers 890/732, 290/780 is
GCF of Numerators i.e. for 890,290 is 10
LCM of denominators i.e. for 732,780 is 47580.
Thus, GCF of Fractions is 10/47580.Finally, GCF of Fractions for 890/732, 290/780 is 10/47580.