GCF of 241/75, 782/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 241/75, 782/396 i.e 1/9900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 241/75, 782/396.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 241/75,782/396?
Given fractions are 241/75,782/396
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 241/75,782/396, numerators are 241,782
Denominators are 75,396
The GCF of 241,782 is 1 .
LCM of 75,396 is 9900.
The greatest common factor of 241/75,782/396 = [GCF of 241,782]/[LCM of 75,396]= 1/9900
Therefore, the GCF of 241/75,782/396 is 1/9900.
To find the highest common factor of 241,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 241 are 1, 241
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 241,782 is 1.
Lets's calculate GCF of 241,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 241,782 By Matching Biggest Common Factor Method
Now, list down the factors of 241
:1,241
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 241,782 . The biggest common factor number is the GCF number.
So the greatest common factor 241,782 is 1.
Lets's calculate LCM of 75,396
| 3 | 75, 396 |
| 25, 132 |
∴ So the LCM of the given numbers is 3 x 25 x 132 = 9900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9900
Therefore, the GCF of Fractions 241/75,782/396 is 1/9900
Least Common Multiple of 75,396 with GCF Formula
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 75,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,396) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,396) x common factors =3 x 1 = 3
LCM(75,396) = ( 75 × 396 ) / 3
LCM(75,396) = 29700 / 3
LCM(75,396) = 9900
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FAQs on GCF of Fractions of 241/75, 782/396
1. What is the HCF of 241,782?
The HCF of 241,782 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 241/75, 782/396?
Answer: GCF of Numerators as per given numbers 241/75, 782/396 is
GCF of Numerators i.e. for 241,782 is 1
LCM of denominators i.e. for 75,396 is 9900.
Thus, GCF of Fractions is 1/9900.Finally, GCF of Fractions for 241/75, 782/396 is 1/9900.