GCF of 8228/513, 3416/1664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8228/513, 3416/1664 i.e 4/853632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8228/513, 3416/1664.
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 8228/513,3416/1664?
Given fractions are 8228/513,3416/1664
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 8228/513,3416/1664, numerators are 8228,3416
Denominators are 513,1664
The GCF of 8228,3416 is 4 .
LCM of 513,1664 is 853632.
The greatest common factor of 8228/513,3416/1664 = [GCF of 8228,3416]/[LCM of 513,1664]= 4/853632
Therefore, the GCF of 8228/513,3416/1664 is 4/853632.
To find the highest common factor of 8228,3416, we have to find the factors of both numbers and list the highest common factor.
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The HCF of 8228,3416 is 4.
Lets's calculate GCF of 8228,3416
| 2 | 8228, 3416 |
| 2 | 4114, 1708 |
| 2057, 854 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8228,3416 By Matching Biggest Common Factor Method
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 8228,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 8228,3416 is 4.
Lets's calculate LCM of 513,1664
Given numbers has no common factors except 1. So, there LCM is their product i.e 853632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/853632
Therefore, the GCF of Fractions 8228/513,3416/1664 is 4/853632
Least Common Multiple of 513,1664 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 513,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,1664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,1664) x common factors =1 x 1 = 1
LCM(513,1664) = ( 513 × 1664 ) / 1
LCM(513,1664) = 853632 / 1
LCM(513,1664) = 853632
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FAQs on GCF of Fractions of 8228/513, 3416/1664
1. What is the HCF of 8228,3416?
The HCF of 8228,3416 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 8228/513, 3416/1664?
Answer: GCF of Numerators as per given numbers 8228/513, 3416/1664 is
GCF of Numerators i.e. for 8228,3416 is 4
LCM of denominators i.e. for 513,1664 is 853632.
Thus, GCF of Fractions is 4/853632.Finally, GCF of Fractions for 8228/513, 3416/1664 is 4/853632.