Use our free GCF of Fractions Calculator tool to compute the GCF of 763/740, 273/170 i.e 7/12580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/740, 273/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/740,273/170
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 763/740,273/170, numerators are 763,273
Denominators are 740,170
The GCF of 763,273 is 7 .
LCM of 740,170 is 12580.
The greatest common factor of 763/740,273/170 = [GCF of 763,273]/[LCM of 740,170]= 7/12580
Therefore, the GCF of 763/740,273/170 is 7/12580.
To find the highest common factor of 763,273, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The HCF of 763,273 is 7.
Lets's calculate GCF of 763,273
7 | 763, 273 |
109, 39 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 763,273 . The biggest common factor number is the GCF number.
So the greatest common factor 763,273 is 7.
Lets's calculate LCM of 740,170
2 | 740, 170 |
5 | 370, 85 |
74, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 74 x 17 = 12580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/12580
Therefore, the GCF of Fractions 763/740,273/170 is 7/12580
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 740,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(740,170) x common factors =10 x 1 = 10
LCM(740,170) = ( 740 × 170 ) / 10
LCM(740,170) = 125800 / 10
LCM(740,170) = 12580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 763,273?
The HCF of 763,273 is 7
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 763/740, 273/170?
Answer: GCF of Numerators as per given numbers 763/740, 273/170 is
GCF of Numerators i.e. for 763,273 is 7
LCM of denominators i.e. for 740,170 is 12580.
Thus, GCF of Fractions is 7/12580.Finally, GCF of Fractions for 763/740, 273/170 is 7/12580.