GCF of 1259/326, 3894/6828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1259/326, 3894/6828 i.e 1/1112964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1259/326, 3894/6828.
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 1259/326,3894/6828?
Given fractions are 1259/326,3894/6828
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 1259/326,3894/6828, numerators are 1259,3894
Denominators are 326,6828
The GCF of 1259,3894 is 1 .
LCM of 326,6828 is 1112964.
The greatest common factor of 1259/326,3894/6828 = [GCF of 1259,3894]/[LCM of 326,6828]= 1/1112964
Therefore, the GCF of 1259/326,3894/6828 is 1/1112964.
To find the highest common factor of 1259,3894, we have to find the factors of both numbers and list the highest common factor.
The factors of 1259 are 1, 1259
The factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894
The HCF of 1259,3894 is 1.
Lets's calculate GCF of 1259,3894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1259,3894 By Matching Biggest Common Factor Method
Now, list down the factors of 1259
:1,1259
Now, list down the factors of 3894
:1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Greatest Common Factor
We found the factors 1259,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 1259,3894 is 1.
Lets's calculate LCM of 326,6828
| 2 | 326, 6828 |
| 163, 3414 |
∴ So the LCM of the given numbers is 2 x 163 x 3414 = 1112964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112964
Therefore, the GCF of Fractions 1259/326,3894/6828 is 1/1112964
Least Common Multiple of 326,6828 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 326,6828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,6828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,6828) x common factors =2 x 1 = 2
LCM(326,6828) = ( 326 × 6828 ) / 2
LCM(326,6828) = 2225928 / 2
LCM(326,6828) = 1112964
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FAQs on GCF of Fractions of 1259/326, 3894/6828
1. What is the HCF of 1259,3894?
The HCF of 1259,3894 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 1259/326, 3894/6828?
Answer: GCF of Numerators as per given numbers 1259/326, 3894/6828 is
GCF of Numerators i.e. for 1259,3894 is 1
LCM of denominators i.e. for 326,6828 is 1112964.
Thus, GCF of Fractions is 1/1112964.Finally, GCF of Fractions for 1259/326, 3894/6828 is 1/1112964.