GCF of 6425/956, 5838/2194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6425/956, 5838/2194 i.e 1/1048732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6425/956, 5838/2194.
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 6425/956,5838/2194?
Given fractions are 6425/956,5838/2194
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 6425/956,5838/2194, numerators are 6425,5838
Denominators are 956,2194
The GCF of 6425,5838 is 1 .
LCM of 956,2194 is 1048732.
The greatest common factor of 6425/956,5838/2194 = [GCF of 6425,5838]/[LCM of 956,2194]= 1/1048732
Therefore, the GCF of 6425/956,5838/2194 is 1/1048732.
To find the highest common factor of 6425,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 6425 are 1, 5, 25, 257, 1285, 6425
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 6425,5838 is 1.
Lets's calculate GCF of 6425,5838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6425,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 6425
:1,5,25,257,1285,6425
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 6425,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 6425,5838 is 1.
Lets's calculate LCM of 956,2194
| 2 | 956, 2194 |
| 478, 1097 |
∴ So the LCM of the given numbers is 2 x 478 x 1097 = 1048732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1048732
Therefore, the GCF of Fractions 6425/956,5838/2194 is 1/1048732
Least Common Multiple of 956,2194 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 956,2194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,2194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(956,2194) x common factors =2 x 1 = 2
LCM(956,2194) = ( 956 × 2194 ) / 2
LCM(956,2194) = 2097464 / 2
LCM(956,2194) = 1048732
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FAQs on GCF of Fractions of 6425/956, 5838/2194
1. What is the HCF of 6425,5838?
The HCF of 6425,5838 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 6425/956, 5838/2194?
Answer: GCF of Numerators as per given numbers 6425/956, 5838/2194 is
GCF of Numerators i.e. for 6425,5838 is 1
LCM of denominators i.e. for 956,2194 is 1048732.
Thus, GCF of Fractions is 1/1048732.Finally, GCF of Fractions for 6425/956, 5838/2194 is 1/1048732.