GCF of 3570/789, 4089/8832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3570/789, 4089/8832 i.e 3/2322816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3570/789, 4089/8832.
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 3570/789,4089/8832?
Given fractions are 3570/789,4089/8832
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 3570/789,4089/8832, numerators are 3570,4089
Denominators are 789,8832
The GCF of 3570,4089 is 3 .
LCM of 789,8832 is 2322816.
The greatest common factor of 3570/789,4089/8832 = [GCF of 3570,4089]/[LCM of 789,8832]= 3/2322816
Therefore, the GCF of 3570/789,4089/8832 is 3/2322816.
To find the highest common factor of 3570,4089, we have to find the factors of both numbers and list the highest common factor.
The factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570
The factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089
The HCF of 3570,4089 is 3.
Lets's calculate GCF of 3570,4089
| 3 | 3570, 4089 |
| 1190, 1363 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3570,4089 By Matching Biggest Common Factor Method
Now, list down the factors of 3570
:1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570
Now, list down the factors of 4089
:1,3,29,47,87,141,1363,4089
Greatest Common Factor
We found the factors 3570,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 3570,4089 is 3.
Lets's calculate LCM of 789,8832
| 3 | 789, 8832 |
| 263, 2944 |
∴ So the LCM of the given numbers is 3 x 263 x 2944 = 2322816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2322816
Therefore, the GCF of Fractions 3570/789,4089/8832 is 3/2322816
Least Common Multiple of 789,8832 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 789,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,8832) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,8832) x common factors =3 x 1 = 3
LCM(789,8832) = ( 789 × 8832 ) / 3
LCM(789,8832) = 6968448 / 3
LCM(789,8832) = 2322816
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3570/789, 4089/8832
1. What is the HCF of 3570,4089?
The HCF of 3570,4089 is 3
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 3570/789, 4089/8832?
Answer: GCF of Numerators as per given numbers 3570/789, 4089/8832 is
GCF of Numerators i.e. for 3570,4089 is 3
LCM of denominators i.e. for 789,8832 is 2322816.
Thus, GCF of Fractions is 3/2322816.Finally, GCF of Fractions for 3570/789, 4089/8832 is 3/2322816.