GCF of 3579/262, 9126/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3579/262, 9126/823 i.e 3/215626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3579/262, 9126/823.
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 3579/262,9126/823?
Given fractions are 3579/262,9126/823
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 3579/262,9126/823, numerators are 3579,9126
Denominators are 262,823
The GCF of 3579,9126 is 3 .
LCM of 262,823 is 215626.
The greatest common factor of 3579/262,9126/823 = [GCF of 3579,9126]/[LCM of 262,823]= 3/215626
Therefore, the GCF of 3579/262,9126/823 is 3/215626.
To find the highest common factor of 3579,9126, we have to find the factors of both numbers and list the highest common factor.
The factors of 3579 are 1, 3, 1193, 3579
The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126
The HCF of 3579,9126 is 3.
Lets's calculate GCF of 3579,9126
| 3 | 3579, 9126 |
| 1193, 3042 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3579,9126 By Matching Biggest Common Factor Method
Now, list down the factors of 3579
:1,3,1193,3579
Now, list down the factors of 9126
:1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Greatest Common Factor
We found the factors 3579,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 3579,9126 is 3.
Lets's calculate LCM of 262,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 215626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215626
Therefore, the GCF of Fractions 3579/262,9126/823 is 3/215626
Least Common Multiple of 262,823 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 262,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,823) x common factors =1 x 1 = 1
LCM(262,823) = ( 262 × 823 ) / 1
LCM(262,823) = 215626 / 1
LCM(262,823) = 215626
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FAQs on GCF of Fractions of 3579/262, 9126/823
1. What is the HCF of 3579,9126?
The HCF of 3579,9126 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 3579/262, 9126/823?
Answer: GCF of Numerators as per given numbers 3579/262, 9126/823 is
GCF of Numerators i.e. for 3579,9126 is 3
LCM of denominators i.e. for 262,823 is 215626.
Thus, GCF of Fractions is 3/215626.Finally, GCF of Fractions for 3579/262, 9126/823 is 3/215626.