GCF of 1891/429, 8463/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1891/429, 8463/2108 i.e 31/904332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1891/429, 8463/2108.
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 1891/429,8463/2108?
Given fractions are 1891/429,8463/2108
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 1891/429,8463/2108, numerators are 1891,8463
Denominators are 429,2108
The GCF of 1891,8463 is 31 .
LCM of 429,2108 is 904332.
The greatest common factor of 1891/429,8463/2108 = [GCF of 1891,8463]/[LCM of 429,2108]= 31/904332
Therefore, the GCF of 1891/429,8463/2108 is 31/904332.
To find the highest common factor of 1891,8463, we have to find the factors of both numbers and list the highest common factor.
The factors of 1891 are 1, 31, 61, 1891
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The HCF of 1891,8463 is 31.
Lets's calculate GCF of 1891,8463
| 31 | 1891, 8463 |
| 61, 273 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1891,8463 By Matching Biggest Common Factor Method
Now, list down the factors of 1891
:1,31,61,1891
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Greatest Common Factor
We found the factors 1891,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 1891,8463 is 31.
Lets's calculate LCM of 429,2108
Given numbers has no common factors except 1. So, there LCM is their product i.e 904332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/904332
Therefore, the GCF of Fractions 1891/429,8463/2108 is 31/904332
Least Common Multiple of 429,2108 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 429,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,2108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,2108) x common factors =1 x 1 = 1
LCM(429,2108) = ( 429 × 2108 ) / 1
LCM(429,2108) = 904332 / 1
LCM(429,2108) = 904332
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FAQs on GCF of Fractions of 1891/429, 8463/2108
1. What is the HCF of 1891,8463?
The HCF of 1891,8463 is 31
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 1891/429, 8463/2108?
Answer: GCF of Numerators as per given numbers 1891/429, 8463/2108 is
GCF of Numerators i.e. for 1891,8463 is 31
LCM of denominators i.e. for 429,2108 is 904332.
Thus, GCF of Fractions is 31/904332.Finally, GCF of Fractions for 1891/429, 8463/2108 is 31/904332.