GCF of 1816/829, 5260/3155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1816/829, 5260/3155 i.e 4/2615495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1816/829, 5260/3155.
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 1816/829,5260/3155?
Given fractions are 1816/829,5260/3155
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 1816/829,5260/3155, numerators are 1816,5260
Denominators are 829,3155
The GCF of 1816,5260 is 4 .
LCM of 829,3155 is 2615495.
The greatest common factor of 1816/829,5260/3155 = [GCF of 1816,5260]/[LCM of 829,3155]= 4/2615495
Therefore, the GCF of 1816/829,5260/3155 is 4/2615495.
To find the highest common factor of 1816,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 1816,5260 is 4.
Lets's calculate GCF of 1816,5260
| 2 | 1816, 5260 |
| 2 | 908, 2630 |
| 454, 1315 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1816,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 1816
:1,2,4,8,227,454,908,1816
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 1816,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 1816,5260 is 4.
Lets's calculate LCM of 829,3155
Given numbers has no common factors except 1. So, there LCM is their product i.e 2615495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2615495
Therefore, the GCF of Fractions 1816/829,5260/3155 is 4/2615495
Least Common Multiple of 829,3155 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 829,3155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,3155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,3155) x common factors =1 x 1 = 1
LCM(829,3155) = ( 829 × 3155 ) / 1
LCM(829,3155) = 2615495 / 1
LCM(829,3155) = 2615495
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FAQs on GCF of Fractions of 1816/829, 5260/3155
1. What is the HCF of 1816,5260?
The HCF of 1816,5260 is 4
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 1816/829, 5260/3155?
Answer: GCF of Numerators as per given numbers 1816/829, 5260/3155 is
GCF of Numerators i.e. for 1816,5260 is 4
LCM of denominators i.e. for 829,3155 is 2615495.
Thus, GCF of Fractions is 4/2615495.Finally, GCF of Fractions for 1816/829, 5260/3155 is 4/2615495.