GCF of 357/967, 2125/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/967, 2125/259 i.e 17/250453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/967, 2125/259.
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 357/967,2125/259?
Given fractions are 357/967,2125/259
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 357/967,2125/259, numerators are 357,2125
Denominators are 967,259
The GCF of 357,2125 is 17 .
LCM of 967,259 is 250453.
The greatest common factor of 357/967,2125/259 = [GCF of 357,2125]/[LCM of 967,259]= 17/250453
Therefore, the GCF of 357/967,2125/259 is 17/250453.
To find the highest common factor of 357,2125, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 2125 are 1, 5, 17, 25, 85, 125, 425, 2125
The HCF of 357,2125 is 17.
Lets's calculate GCF of 357,2125
| 17 | 357, 2125 |
| 21, 125 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 357,2125 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 2125
:1,5,17,25,85,125,425,2125
Greatest Common Factor
We found the factors 357,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 357,2125 is 17.
Lets's calculate LCM of 967,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 250453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/250453
Therefore, the GCF of Fractions 357/967,2125/259 is 17/250453
Least Common Multiple of 967,259 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 967,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,259) x common factors =1 x 1 = 1
LCM(967,259) = ( 967 × 259 ) / 1
LCM(967,259) = 250453 / 1
LCM(967,259) = 250453
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FAQs on GCF of Fractions of 357/967, 2125/259
1. What is the HCF of 357,2125?
The HCF of 357,2125 is 17
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 357/967, 2125/259?
Answer: GCF of Numerators as per given numbers 357/967, 2125/259 is
GCF of Numerators i.e. for 357,2125 is 17
LCM of denominators i.e. for 967,259 is 250453.
Thus, GCF of Fractions is 17/250453.Finally, GCF of Fractions for 357/967, 2125/259 is 17/250453.