GCF of 1258/454, 2733/2597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1258/454, 2733/2597 i.e 1/1179038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1258/454, 2733/2597.
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 1258/454,2733/2597?
Given fractions are 1258/454,2733/2597
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 1258/454,2733/2597, numerators are 1258,2733
Denominators are 454,2597
The GCF of 1258,2733 is 1 .
LCM of 454,2597 is 1179038.
The greatest common factor of 1258/454,2733/2597 = [GCF of 1258,2733]/[LCM of 454,2597]= 1/1179038
Therefore, the GCF of 1258/454,2733/2597 is 1/1179038.
To find the highest common factor of 1258,2733, we have to find the factors of both numbers and list the highest common factor.
The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258
The factors of 2733 are 1, 3, 911, 2733
The HCF of 1258,2733 is 1.
Lets's calculate GCF of 1258,2733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1258,2733 By Matching Biggest Common Factor Method
Now, list down the factors of 1258
:1,2,17,34,37,74,629,1258
Now, list down the factors of 2733
:1,3,911,2733
Greatest Common Factor
We found the factors 1258,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 1258,2733 is 1.
Lets's calculate LCM of 454,2597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1179038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1179038
Therefore, the GCF of Fractions 1258/454,2733/2597 is 1/1179038
Least Common Multiple of 454,2597 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 454,2597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,2597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,2597) x common factors =1 x 1 = 1
LCM(454,2597) = ( 454 × 2597 ) / 1
LCM(454,2597) = 1179038 / 1
LCM(454,2597) = 1179038
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1258/454, 2733/2597
1. What is the HCF of 1258,2733?
The HCF of 1258,2733 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 1258/454, 2733/2597?
Answer: GCF of Numerators as per given numbers 1258/454, 2733/2597 is
GCF of Numerators i.e. for 1258,2733 is 1
LCM of denominators i.e. for 454,2597 is 1179038.
Thus, GCF of Fractions is 1/1179038.Finally, GCF of Fractions for 1258/454, 2733/2597 is 1/1179038.