GCF of 4208/816, 5363/4060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4208/816, 5363/4060 i.e 1/828240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4208/816, 5363/4060.
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 4208/816,5363/4060?
Given fractions are 4208/816,5363/4060
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 4208/816,5363/4060, numerators are 4208,5363
Denominators are 816,4060
The GCF of 4208,5363 is 1 .
LCM of 816,4060 is 828240.
The greatest common factor of 4208/816,5363/4060 = [GCF of 4208,5363]/[LCM of 816,4060]= 1/828240
Therefore, the GCF of 4208/816,5363/4060 is 1/828240.
To find the highest common factor of 4208,5363, we have to find the factors of both numbers and list the highest common factor.
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The factors of 5363 are 1, 31, 173, 5363
The HCF of 4208,5363 is 1.
Lets's calculate GCF of 4208,5363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4208,5363 By Matching Biggest Common Factor Method
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Now, list down the factors of 5363
:1,31,173,5363
Greatest Common Factor
We found the factors 4208,5363 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,5363 is 1.
Lets's calculate LCM of 816,4060
| 2 | 816, 4060 |
| 2 | 408, 2030 |
| 204, 1015 |
∴ So the LCM of the given numbers is 2 x 2 x 204 x 1015 = 828240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828240
Therefore, the GCF of Fractions 4208/816,5363/4060 is 1/828240
Least Common Multiple of 816,4060 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 816,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4060) x common factors =4 x 1 = 4
LCM(816,4060) = ( 816 × 4060 ) / 4
LCM(816,4060) = 3312960 / 4
LCM(816,4060) = 828240
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FAQs on GCF of Fractions of 4208/816, 5363/4060
1. What is the HCF of 4208,5363?
The HCF of 4208,5363 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 4208/816, 5363/4060?
Answer: GCF of Numerators as per given numbers 4208/816, 5363/4060 is
GCF of Numerators i.e. for 4208,5363 is 1
LCM of denominators i.e. for 816,4060 is 828240.
Thus, GCF of Fractions is 1/828240.Finally, GCF of Fractions for 4208/816, 5363/4060 is 1/828240.