GCF of 7887/743, 4173/3514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7887/743, 4173/3514 i.e 3/2610902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7887/743, 4173/3514.
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 7887/743,4173/3514?
Given fractions are 7887/743,4173/3514
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 7887/743,4173/3514, numerators are 7887,4173
Denominators are 743,3514
The GCF of 7887,4173 is 3 .
LCM of 743,3514 is 2610902.
The greatest common factor of 7887/743,4173/3514 = [GCF of 7887,4173]/[LCM of 743,3514]= 3/2610902
Therefore, the GCF of 7887/743,4173/3514 is 3/2610902.
To find the highest common factor of 7887,4173, we have to find the factors of both numbers and list the highest common factor.
The factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887
The factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173
The HCF of 7887,4173 is 3.
Lets's calculate GCF of 7887,4173
| 3 | 7887, 4173 |
| 2629, 1391 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7887,4173 By Matching Biggest Common Factor Method
Now, list down the factors of 7887
:1,3,11,33,239,717,2629,7887
Now, list down the factors of 4173
:1,3,13,39,107,321,1391,4173
Greatest Common Factor
We found the factors 7887,4173 . The biggest common factor number is the GCF number.
So the greatest common factor 7887,4173 is 3.
Lets's calculate LCM of 743,3514
Given numbers has no common factors except 1. So, there LCM is their product i.e 2610902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2610902
Therefore, the GCF of Fractions 7887/743,4173/3514 is 3/2610902
Least Common Multiple of 743,3514 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 743,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,3514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,3514) x common factors =1 x 1 = 1
LCM(743,3514) = ( 743 × 3514 ) / 1
LCM(743,3514) = 2610902 / 1
LCM(743,3514) = 2610902
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FAQs on GCF of Fractions of 7887/743, 4173/3514
1. What is the HCF of 7887,4173?
The HCF of 7887,4173 is 3
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 7887/743, 4173/3514?
Answer: GCF of Numerators as per given numbers 7887/743, 4173/3514 is
GCF of Numerators i.e. for 7887,4173 is 3
LCM of denominators i.e. for 743,3514 is 2610902.
Thus, GCF of Fractions is 3/2610902.Finally, GCF of Fractions for 7887/743, 4173/3514 is 3/2610902.