GCF of 7940/935, 1999/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7940/935, 1999/253 i.e 1/21505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7940/935, 1999/253.
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 7940/935,1999/253?
Given fractions are 7940/935,1999/253
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 7940/935,1999/253, numerators are 7940,1999
Denominators are 935,253
The GCF of 7940,1999 is 1 .
LCM of 935,253 is 21505.
The greatest common factor of 7940/935,1999/253 = [GCF of 7940,1999]/[LCM of 935,253]= 1/21505
Therefore, the GCF of 7940/935,1999/253 is 1/21505.
To find the highest common factor of 7940,1999, we have to find the factors of both numbers and list the highest common factor.
The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940
The factors of 1999 are 1, 1999
The HCF of 7940,1999 is 1.
Lets's calculate GCF of 7940,1999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7940,1999 By Matching Biggest Common Factor Method
Now, list down the factors of 7940
:1,2,4,5,10,20,397,794,1588,1985,3970,7940
Now, list down the factors of 1999
:1,1999
Greatest Common Factor
We found the factors 7940,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 7940,1999 is 1.
Lets's calculate LCM of 935,253
| 11 | 935, 253 |
| 85, 23 |
∴ So the LCM of the given numbers is 11 x 85 x 23 = 21505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21505
Therefore, the GCF of Fractions 7940/935,1999/253 is 1/21505
Least Common Multiple of 935,253 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 935,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,253) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(935,253) x common factors =11 x 1 = 11
LCM(935,253) = ( 935 × 253 ) / 11
LCM(935,253) = 236555 / 11
LCM(935,253) = 21505
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FAQs on GCF of Fractions of 7940/935, 1999/253
1. What is the HCF of 7940,1999?
The HCF of 7940,1999 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 7940/935, 1999/253?
Answer: GCF of Numerators as per given numbers 7940/935, 1999/253 is
GCF of Numerators i.e. for 7940,1999 is 1
LCM of denominators i.e. for 935,253 is 21505.
Thus, GCF of Fractions is 1/21505.Finally, GCF of Fractions for 7940/935, 1999/253 is 1/21505.