GCF of 1765/720, 2992/387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1765/720, 2992/387 i.e 1/30960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1765/720, 2992/387.
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 1765/720,2992/387?
Given fractions are 1765/720,2992/387
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 1765/720,2992/387, numerators are 1765,2992
Denominators are 720,387
The GCF of 1765,2992 is 1 .
LCM of 720,387 is 30960.
The greatest common factor of 1765/720,2992/387 = [GCF of 1765,2992]/[LCM of 720,387]= 1/30960
Therefore, the GCF of 1765/720,2992/387 is 1/30960.
To find the highest common factor of 1765,2992, we have to find the factors of both numbers and list the highest common factor.
The factors of 1765 are 1, 5, 353, 1765
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992
The HCF of 1765,2992 is 1.
Lets's calculate GCF of 1765,2992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1765,2992 By Matching Biggest Common Factor Method
Now, list down the factors of 1765
:1,5,353,1765
Now, list down the factors of 2992
:1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 1765,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 1765,2992 is 1.
Lets's calculate LCM of 720,387
| 3 | 720, 387 |
| 3 | 240, 129 |
| 80, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 80 x 43 = 30960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30960
Therefore, the GCF of Fractions 1765/720,2992/387 is 1/30960
Least Common Multiple of 720,387 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 720,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,387) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(720,387) x common factors =9 x 1 = 9
LCM(720,387) = ( 720 × 387 ) / 9
LCM(720,387) = 278640 / 9
LCM(720,387) = 30960
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FAQs on GCF of Fractions of 1765/720, 2992/387
1. What is the HCF of 1765,2992?
The HCF of 1765,2992 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 1765/720, 2992/387?
Answer: GCF of Numerators as per given numbers 1765/720, 2992/387 is
GCF of Numerators i.e. for 1765,2992 is 1
LCM of denominators i.e. for 720,387 is 30960.
Thus, GCF of Fractions is 1/30960.Finally, GCF of Fractions for 1765/720, 2992/387 is 1/30960.