GCF of 3990/875, 7769/2160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3990/875, 7769/2160 i.e 1/378000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3990/875, 7769/2160.
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 3990/875,7769/2160?
Given fractions are 3990/875,7769/2160
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 3990/875,7769/2160, numerators are 3990,7769
Denominators are 875,2160
The GCF of 3990,7769 is 1 .
LCM of 875,2160 is 378000.
The greatest common factor of 3990/875,7769/2160 = [GCF of 3990,7769]/[LCM of 875,2160]= 1/378000
Therefore, the GCF of 3990/875,7769/2160 is 1/378000.
To find the highest common factor of 3990,7769, we have to find the factors of both numbers and list the highest common factor.
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The factors of 7769 are 1, 17, 457, 7769
The HCF of 3990,7769 is 1.
Lets's calculate GCF of 3990,7769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3990,7769 By Matching Biggest Common Factor Method
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Now, list down the factors of 7769
:1,17,457,7769
Greatest Common Factor
We found the factors 3990,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 3990,7769 is 1.
Lets's calculate LCM of 875,2160
| 5 | 875, 2160 |
| 175, 432 |
∴ So the LCM of the given numbers is 5 x 175 x 432 = 378000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378000
Therefore, the GCF of Fractions 3990/875,7769/2160 is 1/378000
Least Common Multiple of 875,2160 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 875,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,2160) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(875,2160) x common factors =5 x 1 = 5
LCM(875,2160) = ( 875 × 2160 ) / 5
LCM(875,2160) = 1890000 / 5
LCM(875,2160) = 378000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3990/875, 7769/2160
1. What is the HCF of 3990,7769?
The HCF of 3990,7769 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 3990/875, 7769/2160?
Answer: GCF of Numerators as per given numbers 3990/875, 7769/2160 is
GCF of Numerators i.e. for 3990,7769 is 1
LCM of denominators i.e. for 875,2160 is 378000.
Thus, GCF of Fractions is 1/378000.Finally, GCF of Fractions for 3990/875, 7769/2160 is 1/378000.