GCF of 3025/254, 3716/5405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3025/254, 3716/5405 i.e 1/1372870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3025/254, 3716/5405.
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 3025/254,3716/5405?
Given fractions are 3025/254,3716/5405
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 3025/254,3716/5405, numerators are 3025,3716
Denominators are 254,5405
The GCF of 3025,3716 is 1 .
LCM of 254,5405 is 1372870.
The greatest common factor of 3025/254,3716/5405 = [GCF of 3025,3716]/[LCM of 254,5405]= 1/1372870
Therefore, the GCF of 3025/254,3716/5405 is 1/1372870.
To find the highest common factor of 3025,3716, we have to find the factors of both numbers and list the highest common factor.
The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025
The factors of 3716 are 1, 2, 4, 929, 1858, 3716
The HCF of 3025,3716 is 1.
Lets's calculate GCF of 3025,3716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3025,3716 By Matching Biggest Common Factor Method
Now, list down the factors of 3025
:1,5,11,25,55,121,275,605,3025
Now, list down the factors of 3716
:1,2,4,929,1858,3716
Greatest Common Factor
We found the factors 3025,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 3025,3716 is 1.
Lets's calculate LCM of 254,5405
Given numbers has no common factors except 1. So, there LCM is their product i.e 1372870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1372870
Therefore, the GCF of Fractions 3025/254,3716/5405 is 1/1372870
Least Common Multiple of 254,5405 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 254,5405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,5405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,5405) x common factors =1 x 1 = 1
LCM(254,5405) = ( 254 × 5405 ) / 1
LCM(254,5405) = 1372870 / 1
LCM(254,5405) = 1372870
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FAQs on GCF of Fractions of 3025/254, 3716/5405
1. What is the HCF of 3025,3716?
The HCF of 3025,3716 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 3025/254, 3716/5405?
Answer: GCF of Numerators as per given numbers 3025/254, 3716/5405 is
GCF of Numerators i.e. for 3025,3716 is 1
LCM of denominators i.e. for 254,5405 is 1372870.
Thus, GCF of Fractions is 1/1372870.Finally, GCF of Fractions for 3025/254, 3716/5405 is 1/1372870.