GCF of 1995/302, 7499/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1995/302, 7499/768 i.e 1/115968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1995/302, 7499/768.
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 1995/302,7499/768?
Given fractions are 1995/302,7499/768
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 1995/302,7499/768, numerators are 1995,7499
Denominators are 302,768
The GCF of 1995,7499 is 1 .
LCM of 302,768 is 115968.
The greatest common factor of 1995/302,7499/768 = [GCF of 1995,7499]/[LCM of 302,768]= 1/115968
Therefore, the GCF of 1995/302,7499/768 is 1/115968.
To find the highest common factor of 1995,7499, we have to find the factors of both numbers and list the highest common factor.
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The factors of 7499 are 1, 7499
The HCF of 1995,7499 is 1.
Lets's calculate GCF of 1995,7499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1995,7499 By Matching Biggest Common Factor Method
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Now, list down the factors of 7499
:1,7499
Greatest Common Factor
We found the factors 1995,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 1995,7499 is 1.
Lets's calculate LCM of 302,768
| 2 | 302, 768 |
| 151, 384 |
∴ So the LCM of the given numbers is 2 x 151 x 384 = 115968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115968
Therefore, the GCF of Fractions 1995/302,7499/768 is 1/115968
Least Common Multiple of 302,768 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 302,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,768) x common factors =2 x 1 = 2
LCM(302,768) = ( 302 × 768 ) / 2
LCM(302,768) = 231936 / 2
LCM(302,768) = 115968
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FAQs on GCF of Fractions of 1995/302, 7499/768
1. What is the HCF of 1995,7499?
The HCF of 1995,7499 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 1995/302, 7499/768?
Answer: GCF of Numerators as per given numbers 1995/302, 7499/768 is
GCF of Numerators i.e. for 1995,7499 is 1
LCM of denominators i.e. for 302,768 is 115968.
Thus, GCF of Fractions is 1/115968.Finally, GCF of Fractions for 1995/302, 7499/768 is 1/115968.