GCF of 5025/316, 1379/9669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5025/316, 1379/9669 i.e 1/3055404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5025/316, 1379/9669.
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 5025/316,1379/9669?
Given fractions are 5025/316,1379/9669
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 5025/316,1379/9669, numerators are 5025,1379
Denominators are 316,9669
The GCF of 5025,1379 is 1 .
LCM of 316,9669 is 3055404.
The greatest common factor of 5025/316,1379/9669 = [GCF of 5025,1379]/[LCM of 316,9669]= 1/3055404
Therefore, the GCF of 5025/316,1379/9669 is 1/3055404.
To find the highest common factor of 5025,1379, we have to find the factors of both numbers and list the highest common factor.
The factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
The factors of 1379 are 1, 7, 197, 1379
The HCF of 5025,1379 is 1.
Lets's calculate GCF of 5025,1379
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5025,1379 By Matching Biggest Common Factor Method
Now, list down the factors of 5025
:1,3,5,15,25,67,75,201,335,1005,1675,5025
Now, list down the factors of 1379
:1,7,197,1379
Greatest Common Factor
We found the factors 5025,1379 . The biggest common factor number is the GCF number.
So the greatest common factor 5025,1379 is 1.
Lets's calculate LCM of 316,9669
Given numbers has no common factors except 1. So, there LCM is their product i.e 3055404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3055404
Therefore, the GCF of Fractions 5025/316,1379/9669 is 1/3055404
Least Common Multiple of 316,9669 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 316,9669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,9669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,9669) x common factors =1 x 1 = 1
LCM(316,9669) = ( 316 × 9669 ) / 1
LCM(316,9669) = 3055404 / 1
LCM(316,9669) = 3055404
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FAQs on GCF of Fractions of 5025/316, 1379/9669
1. What is the HCF of 5025,1379?
The HCF of 5025,1379 is 1
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 5025/316, 1379/9669?
Answer: GCF of Numerators as per given numbers 5025/316, 1379/9669 is
GCF of Numerators i.e. for 5025,1379 is 1
LCM of denominators i.e. for 316,9669 is 3055404.
Thus, GCF of Fractions is 1/3055404.Finally, GCF of Fractions for 5025/316, 1379/9669 is 1/3055404.