GCF of 935/21, 971/255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/21, 971/255 i.e 1/1785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/21, 971/255.
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 935/21,971/255?
Given fractions are 935/21,971/255
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 935/21,971/255, numerators are 935,971
Denominators are 21,255
The GCF of 935,971 is 1 .
LCM of 21,255 is 1785.
The greatest common factor of 935/21,971/255 = [GCF of 935,971]/[LCM of 21,255]= 1/1785
Therefore, the GCF of 935/21,971/255 is 1/1785.
To find the highest common factor of 935,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 971 are 1, 971
The HCF of 935,971 is 1.
Lets's calculate GCF of 935,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 935,971 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 935,971 . The biggest common factor number is the GCF number.
So the greatest common factor 935,971 is 1.
Lets's calculate LCM of 21,255
| 3 | 21, 255 |
| 7, 85 |
∴ So the LCM of the given numbers is 3 x 7 x 85 = 1785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785
Therefore, the GCF of Fractions 935/21,971/255 is 1/1785
Least Common Multiple of 21,255 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 21,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,255) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,255) x common factors =3 x 1 = 3
LCM(21,255) = ( 21 × 255 ) / 3
LCM(21,255) = 5355 / 3
LCM(21,255) = 1785
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FAQs on GCF of Fractions of 935/21, 971/255
1. What is the HCF of 935,971?
The HCF of 935,971 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 935/21, 971/255?
Answer: GCF of Numerators as per given numbers 935/21, 971/255 is
GCF of Numerators i.e. for 935,971 is 1
LCM of denominators i.e. for 21,255 is 1785.
Thus, GCF of Fractions is 1/1785.Finally, GCF of Fractions for 935/21, 971/255 is 1/1785.