Use our free GCF of Fractions Calculator tool to compute the GCF of 957/207, 290/920 i.e 29/8280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/207, 290/920.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/207,290/920
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 957/207,290/920, numerators are 957,290
Denominators are 207,920
The GCF of 957,290 is 29 .
LCM of 207,920 is 8280.
The greatest common factor of 957/207,290/920 = [GCF of 957,290]/[LCM of 207,920]= 29/8280
Therefore, the GCF of 957/207,290/920 is 29/8280.
To find the highest common factor of 957,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 957,290 is 29.
Lets's calculate GCF of 957,290
29 | 957, 290 |
33, 10 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 957,290 . The biggest common factor number is the GCF number.
So the greatest common factor 957,290 is 29.
Lets's calculate LCM of 207,920
23 | 207, 920 |
9, 40 |
∴ So the LCM of the given numbers is 23 x 9 x 40 = 8280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/8280
Therefore, the GCF of Fractions 957/207,290/920 is 29/8280
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 207,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,920) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(207,920) x common factors =23 x 1 = 23
LCM(207,920) = ( 207 × 920 ) / 23
LCM(207,920) = 190440 / 23
LCM(207,920) = 8280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 957,290?
The HCF of 957,290 is 29
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 957/207, 290/920?
Answer: GCF of Numerators as per given numbers 957/207, 290/920 is
GCF of Numerators i.e. for 957,290 is 29
LCM of denominators i.e. for 207,920 is 8280.
Thus, GCF of Fractions is 29/8280.Finally, GCF of Fractions for 957/207, 290/920 is 29/8280.