GCF of 6350/541, 6325/8715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6350/541, 6325/8715 i.e 25/4714815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6350/541, 6325/8715.
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 6350/541,6325/8715?
Given fractions are 6350/541,6325/8715
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 6350/541,6325/8715, numerators are 6350,6325
Denominators are 541,8715
The GCF of 6350,6325 is 25 .
LCM of 541,8715 is 4714815.
The greatest common factor of 6350/541,6325/8715 = [GCF of 6350,6325]/[LCM of 541,8715]= 25/4714815
Therefore, the GCF of 6350/541,6325/8715 is 25/4714815.
To find the highest common factor of 6350,6325, we have to find the factors of both numbers and list the highest common factor.
The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350
The factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325
The HCF of 6350,6325 is 25.
Lets's calculate GCF of 6350,6325
| 5 | 6350, 6325 |
| 5 | 1270, 1265 |
| 254, 253 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6350,6325 By Matching Biggest Common Factor Method
Now, list down the factors of 6350
:1,2,5,10,25,50,127,254,635,1270,3175,6350
Now, list down the factors of 6325
:1,5,11,23,25,55,115,253,275,575,1265,6325
Greatest Common Factor
We found the factors 6350,6325 . The biggest common factor number is the GCF number.
So the greatest common factor 6350,6325 is 25.
Lets's calculate LCM of 541,8715
Given numbers has no common factors except 1. So, there LCM is their product i.e 4714815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4714815
Therefore, the GCF of Fractions 6350/541,6325/8715 is 25/4714815
Least Common Multiple of 541,8715 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 541,8715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,8715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,8715) x common factors =1 x 1 = 1
LCM(541,8715) = ( 541 × 8715 ) / 1
LCM(541,8715) = 4714815 / 1
LCM(541,8715) = 4714815
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FAQs on GCF of Fractions of 6350/541, 6325/8715
1. What is the HCF of 6350,6325?
The HCF of 6350,6325 is 25
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 6350/541, 6325/8715?
Answer: GCF of Numerators as per given numbers 6350/541, 6325/8715 is
GCF of Numerators i.e. for 6350,6325 is 25
LCM of denominators i.e. for 541,8715 is 4714815.
Thus, GCF of Fractions is 25/4714815.Finally, GCF of Fractions for 6350/541, 6325/8715 is 25/4714815.