GCF of 1859/208, 5208/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1859/208, 5208/403 i.e 1/6448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1859/208, 5208/403.
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 1859/208,5208/403?
Given fractions are 1859/208,5208/403
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 1859/208,5208/403, numerators are 1859,5208
Denominators are 208,403
The GCF of 1859,5208 is 1 .
LCM of 208,403 is 6448.
The greatest common factor of 1859/208,5208/403 = [GCF of 1859,5208]/[LCM of 208,403]= 1/6448
Therefore, the GCF of 1859/208,5208/403 is 1/6448.
To find the highest common factor of 1859,5208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1859 are 1, 11, 13, 143, 169, 1859
The factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208
The HCF of 1859,5208 is 1.
Lets's calculate GCF of 1859,5208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1859,5208 By Matching Biggest Common Factor Method
Now, list down the factors of 1859
:1,11,13,143,169,1859
Now, list down the factors of 5208
:1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Greatest Common Factor
We found the factors 1859,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 1859,5208 is 1.
Lets's calculate LCM of 208,403
| 13 | 208, 403 |
| 16, 31 |
∴ So the LCM of the given numbers is 13 x 16 x 31 = 6448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6448
Therefore, the GCF of Fractions 1859/208,5208/403 is 1/6448
Least Common Multiple of 208,403 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 208,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,403) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(208,403) x common factors =13 x 1 = 13
LCM(208,403) = ( 208 × 403 ) / 13
LCM(208,403) = 83824 / 13
LCM(208,403) = 6448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1859/208, 5208/403
1. What is the HCF of 1859,5208?
The HCF of 1859,5208 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 1859/208, 5208/403?
Answer: GCF of Numerators as per given numbers 1859/208, 5208/403 is
GCF of Numerators i.e. for 1859,5208 is 1
LCM of denominators i.e. for 208,403 is 6448.
Thus, GCF of Fractions is 1/6448.Finally, GCF of Fractions for 1859/208, 5208/403 is 1/6448.