GCF of 913/78, 258/6586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/78, 258/6586 i.e 1/256854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/78, 258/6586.
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 913/78,258/6586?
Given fractions are 913/78,258/6586
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 913/78,258/6586, numerators are 913,258
Denominators are 78,6586
The GCF of 913,258 is 1 .
LCM of 78,6586 is 256854.
The greatest common factor of 913/78,258/6586 = [GCF of 913,258]/[LCM of 78,6586]= 1/256854
Therefore, the GCF of 913/78,258/6586 is 1/256854.
To find the highest common factor of 913,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 913,258 is 1.
Lets's calculate GCF of 913,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 913,258 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 913,258 . The biggest common factor number is the GCF number.
So the greatest common factor 913,258 is 1.
Lets's calculate LCM of 78,6586
| 2 | 78, 6586 |
| 39, 3293 |
∴ So the LCM of the given numbers is 2 x 39 x 3293 = 256854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256854
Therefore, the GCF of Fractions 913/78,258/6586 is 1/256854
Least Common Multiple of 78,6586 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 78,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,6586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,6586) x common factors =2 x 1 = 2
LCM(78,6586) = ( 78 × 6586 ) / 2
LCM(78,6586) = 513708 / 2
LCM(78,6586) = 256854
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FAQs on GCF of Fractions of 913/78, 258/6586
1. What is the HCF of 913,258?
The HCF of 913,258 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 913/78, 258/6586?
Answer: GCF of Numerators as per given numbers 913/78, 258/6586 is
GCF of Numerators i.e. for 913,258 is 1
LCM of denominators i.e. for 78,6586 is 256854.
Thus, GCF of Fractions is 1/256854.Finally, GCF of Fractions for 913/78, 258/6586 is 1/256854.