GCF of 5607/625, 2091/9473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5607/625, 2091/9473 i.e 3/5920625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5607/625, 2091/9473.
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 5607/625,2091/9473?
Given fractions are 5607/625,2091/9473
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 5607/625,2091/9473, numerators are 5607,2091
Denominators are 625,9473
The GCF of 5607,2091 is 3 .
LCM of 625,9473 is 5920625.
The greatest common factor of 5607/625,2091/9473 = [GCF of 5607,2091]/[LCM of 625,9473]= 3/5920625
Therefore, the GCF of 5607/625,2091/9473 is 3/5920625.
To find the highest common factor of 5607,2091, we have to find the factors of both numbers and list the highest common factor.
The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607
The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091
The HCF of 5607,2091 is 3.
Lets's calculate GCF of 5607,2091
| 3 | 5607, 2091 |
| 1869, 697 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5607,2091 By Matching Biggest Common Factor Method
Now, list down the factors of 5607
:1,3,7,9,21,63,89,267,623,801,1869,5607
Now, list down the factors of 2091
:1,3,17,41,51,123,697,2091
Greatest Common Factor
We found the factors 5607,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 5607,2091 is 3.
Lets's calculate LCM of 625,9473
Given numbers has no common factors except 1. So, there LCM is their product i.e 5920625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5920625
Therefore, the GCF of Fractions 5607/625,2091/9473 is 3/5920625
Least Common Multiple of 625,9473 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 625,9473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,9473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,9473) x common factors =1 x 1 = 1
LCM(625,9473) = ( 625 × 9473 ) / 1
LCM(625,9473) = 5920625 / 1
LCM(625,9473) = 5920625
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FAQs on GCF of Fractions of 5607/625, 2091/9473
1. What is the HCF of 5607,2091?
The HCF of 5607,2091 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 5607/625, 2091/9473?
Answer: GCF of Numerators as per given numbers 5607/625, 2091/9473 is
GCF of Numerators i.e. for 5607,2091 is 3
LCM of denominators i.e. for 625,9473 is 5920625.
Thus, GCF of Fractions is 3/5920625.Finally, GCF of Fractions for 5607/625, 2091/9473 is 3/5920625.