GCF of 2325/109, 7595/7021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2325/109, 7595/7021 i.e 155/765289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2325/109, 7595/7021.
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 2325/109,7595/7021?
Given fractions are 2325/109,7595/7021
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 2325/109,7595/7021, numerators are 2325,7595
Denominators are 109,7021
The GCF of 2325,7595 is 155 .
LCM of 109,7021 is 765289.
The greatest common factor of 2325/109,7595/7021 = [GCF of 2325,7595]/[LCM of 109,7021]= 155/765289
Therefore, the GCF of 2325/109,7595/7021 is 155/765289.
To find the highest common factor of 2325,7595, we have to find the factors of both numbers and list the highest common factor.
The factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
The factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
The HCF of 2325,7595 is 155.
Lets's calculate GCF of 2325,7595
| 5 | 2325, 7595 |
| 31 | 465, 1519 |
| 15, 49 |
∴ So the GCF of the given numbers is 5 x 31 = 155
Greatest Common Factor of 2325,7595 By Matching Biggest Common Factor Method
Now, list down the factors of 2325
:1,3,5,15,25,31,75,93,155,465,775,2325
Now, list down the factors of 7595
:1,5,7,31,35,49,155,217,245,1085,1519,7595
Greatest Common Factor
We found the factors 2325,7595 . The biggest common factor number is the GCF number.
So the greatest common factor 2325,7595 is 155.
Lets's calculate LCM of 109,7021
Given numbers has no common factors except 1. So, there LCM is their product i.e 765289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 155/765289
Therefore, the GCF of Fractions 2325/109,7595/7021 is 155/765289
Least Common Multiple of 109,7021 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 109,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,7021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,7021) x common factors =1 x 1 = 1
LCM(109,7021) = ( 109 × 7021 ) / 1
LCM(109,7021) = 765289 / 1
LCM(109,7021) = 765289
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FAQs on GCF of Fractions of 2325/109, 7595/7021
1. What is the HCF of 2325,7595?
The HCF of 2325,7595 is 155
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 2325/109, 7595/7021?
Answer: GCF of Numerators as per given numbers 2325/109, 7595/7021 is
GCF of Numerators i.e. for 2325,7595 is 155
LCM of denominators i.e. for 109,7021 is 765289.
Thus, GCF of Fractions is 155/765289.Finally, GCF of Fractions for 2325/109, 7595/7021 is 155/765289.