Use our free GCF of Fractions Calculator tool to compute the GCF of 17/972, 980/752, 238/720 i.e 1/913680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/972, 980/752, 238/720.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/972,980/752,238/720
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 17/972,980/752,238/720, numerators are 17,980,238
Denominators are 972,752,720
The GCF of 17,980,238 is 1 .
LCM of 972,752,720 is 913680.
The greatest common factor of 17/972,980/752,238/720 = [GCF of 17,980,238]/[LCM of 972,752,720]= 1/913680
Therefore, the GCF of 17/972,980/752,238/720 is 1/913680.
To find the highest common factor of 17,980,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 17,980,238 is 1.
Lets's calculate GCF of 17,980,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 17,980,238 . The biggest common factor number is the GCF number.
So the greatest common factor 17,980,238 is 1.
Lets's calculate LCM of 972,752,720
2 | 972, 752, 720 |
2 | 486, 376, 360 |
2 | 243, 188, 180 |
2 | 243, 94, 90 |
3 | 243, 47, 45 |
3 | 81, 47, 15 |
27, 47, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 27 x 47 x 5 = 913680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/913680
Therefore, the GCF of Fractions 17/972,980/752,238/720 is 1/913680
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 972,752,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,752,720) = 4
common factors(in case of two or more numbers have common factors) = 144
GCF(972,752,720) x common factors =4 x 144 = 576
LCM(972,752,720) = ( 972 × 752 × 720 ) / 576
LCM(972,752,720) = 526279680 / 576
LCM(972,752,720) = 913680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,980,238?
The HCF of 17,980,238 is 1
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 17/972, 980/752, 238/720?
Answer: GCF of Numerators as per given numbers 17/972, 980/752, 238/720 is
GCF of Numerators i.e. for 17,980,238 is 1
LCM of denominators i.e. for 972,752,720 is 913680.
Thus, GCF of Fractions is 1/913680.Finally, GCF of Fractions for 17/972, 980/752, 238/720 is 1/913680.