GCF of 1325/379, 5777/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1325/379, 5777/851 i.e 53/322529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1325/379, 5777/851.
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 1325/379,5777/851?
Given fractions are 1325/379,5777/851
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 1325/379,5777/851, numerators are 1325,5777
Denominators are 379,851
The GCF of 1325,5777 is 53 .
LCM of 379,851 is 322529.
The greatest common factor of 1325/379,5777/851 = [GCF of 1325,5777]/[LCM of 379,851]= 53/322529
Therefore, the GCF of 1325/379,5777/851 is 53/322529.
To find the highest common factor of 1325,5777, we have to find the factors of both numbers and list the highest common factor.
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The factors of 5777 are 1, 53, 109, 5777
The HCF of 1325,5777 is 53.
Lets's calculate GCF of 1325,5777
| 53 | 1325, 5777 |
| 25, 109 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 1325,5777 By Matching Biggest Common Factor Method
Now, list down the factors of 1325
:1,5,25,53,265,1325
Now, list down the factors of 5777
:1,53,109,5777
Greatest Common Factor
We found the factors 1325,5777 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,5777 is 53.
Lets's calculate LCM of 379,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 322529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/322529
Therefore, the GCF of Fractions 1325/379,5777/851 is 53/322529
Least Common Multiple of 379,851 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 379,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,851) x common factors =1 x 1 = 1
LCM(379,851) = ( 379 × 851 ) / 1
LCM(379,851) = 322529 / 1
LCM(379,851) = 322529
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FAQs on GCF of Fractions of 1325/379, 5777/851
1. What is the HCF of 1325,5777?
The HCF of 1325,5777 is 53
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 1325/379, 5777/851?
Answer: GCF of Numerators as per given numbers 1325/379, 5777/851 is
GCF of Numerators i.e. for 1325,5777 is 53
LCM of denominators i.e. for 379,851 is 322529.
Thus, GCF of Fractions is 53/322529.Finally, GCF of Fractions for 1325/379, 5777/851 is 53/322529.