GCF of 2051/423, 6475/3669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2051/423, 6475/3669 i.e 7/517329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2051/423, 6475/3669.
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 2051/423,6475/3669?
Given fractions are 2051/423,6475/3669
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 2051/423,6475/3669, numerators are 2051,6475
Denominators are 423,3669
The GCF of 2051,6475 is 7 .
LCM of 423,3669 is 517329.
The greatest common factor of 2051/423,6475/3669 = [GCF of 2051,6475]/[LCM of 423,3669]= 7/517329
Therefore, the GCF of 2051/423,6475/3669 is 7/517329.
To find the highest common factor of 2051,6475, we have to find the factors of both numbers and list the highest common factor.
The factors of 2051 are 1, 7, 293, 2051
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The HCF of 2051,6475 is 7.
Lets's calculate GCF of 2051,6475
| 7 | 2051, 6475 |
| 293, 925 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2051,6475 By Matching Biggest Common Factor Method
Now, list down the factors of 2051
:1,7,293,2051
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors 2051,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 2051,6475 is 7.
Lets's calculate LCM of 423,3669
| 3 | 423, 3669 |
| 141, 1223 |
∴ So the LCM of the given numbers is 3 x 141 x 1223 = 517329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/517329
Therefore, the GCF of Fractions 2051/423,6475/3669 is 7/517329
Least Common Multiple of 423,3669 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 423,3669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,3669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,3669) x common factors =3 x 1 = 3
LCM(423,3669) = ( 423 × 3669 ) / 3
LCM(423,3669) = 1551987 / 3
LCM(423,3669) = 517329
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FAQs on GCF of Fractions of 2051/423, 6475/3669
1. What is the HCF of 2051,6475?
The HCF of 2051,6475 is 7
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 2051/423, 6475/3669?
Answer: GCF of Numerators as per given numbers 2051/423, 6475/3669 is
GCF of Numerators i.e. for 2051,6475 is 7
LCM of denominators i.e. for 423,3669 is 517329.
Thus, GCF of Fractions is 7/517329.Finally, GCF of Fractions for 2051/423, 6475/3669 is 7/517329.