GCF of 2258/741, 7719/3514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2258/741, 7719/3514 i.e 1/2603874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2258/741, 7719/3514.
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 2258/741,7719/3514?
Given fractions are 2258/741,7719/3514
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 2258/741,7719/3514, numerators are 2258,7719
Denominators are 741,3514
The GCF of 2258,7719 is 1 .
LCM of 741,3514 is 2603874.
The greatest common factor of 2258/741,7719/3514 = [GCF of 2258,7719]/[LCM of 741,3514]= 1/2603874
Therefore, the GCF of 2258/741,7719/3514 is 1/2603874.
To find the highest common factor of 2258,7719, we have to find the factors of both numbers and list the highest common factor.
The factors of 2258 are 1, 2, 1129, 2258
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The HCF of 2258,7719 is 1.
Lets's calculate GCF of 2258,7719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2258,7719 By Matching Biggest Common Factor Method
Now, list down the factors of 2258
:1,2,1129,2258
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Greatest Common Factor
We found the factors 2258,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 2258,7719 is 1.
Lets's calculate LCM of 741,3514
Given numbers has no common factors except 1. So, there LCM is their product i.e 2603874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2603874
Therefore, the GCF of Fractions 2258/741,7719/3514 is 1/2603874
Least Common Multiple of 741,3514 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 741,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,3514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,3514) x common factors =1 x 1 = 1
LCM(741,3514) = ( 741 × 3514 ) / 1
LCM(741,3514) = 2603874 / 1
LCM(741,3514) = 2603874
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FAQs on GCF of Fractions of 2258/741, 7719/3514
1. What is the HCF of 2258,7719?
The HCF of 2258,7719 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 2258/741, 7719/3514?
Answer: GCF of Numerators as per given numbers 2258/741, 7719/3514 is
GCF of Numerators i.e. for 2258,7719 is 1
LCM of denominators i.e. for 741,3514 is 2603874.
Thus, GCF of Fractions is 1/2603874.Finally, GCF of Fractions for 2258/741, 7719/3514 is 1/2603874.