GCF of 6425/745, 6296/3620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6425/745, 6296/3620 i.e 1/539380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6425/745, 6296/3620.
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 6425/745,6296/3620?
Given fractions are 6425/745,6296/3620
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 6425/745,6296/3620, numerators are 6425,6296
Denominators are 745,3620
The GCF of 6425,6296 is 1 .
LCM of 745,3620 is 539380.
The greatest common factor of 6425/745,6296/3620 = [GCF of 6425,6296]/[LCM of 745,3620]= 1/539380
Therefore, the GCF of 6425/745,6296/3620 is 1/539380.
To find the highest common factor of 6425,6296, we have to find the factors of both numbers and list the highest common factor.
The factors of 6425 are 1, 5, 25, 257, 1285, 6425
The factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296
The HCF of 6425,6296 is 1.
Lets's calculate GCF of 6425,6296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6425,6296 By Matching Biggest Common Factor Method
Now, list down the factors of 6425
:1,5,25,257,1285,6425
Now, list down the factors of 6296
:1,2,4,8,787,1574,3148,6296
Greatest Common Factor
We found the factors 6425,6296 . The biggest common factor number is the GCF number.
So the greatest common factor 6425,6296 is 1.
Lets's calculate LCM of 745,3620
| 5 | 745, 3620 |
| 149, 724 |
∴ So the LCM of the given numbers is 5 x 149 x 724 = 539380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539380
Therefore, the GCF of Fractions 6425/745,6296/3620 is 1/539380
Least Common Multiple of 745,3620 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 745,3620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,3620) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(745,3620) x common factors =5 x 1 = 5
LCM(745,3620) = ( 745 × 3620 ) / 5
LCM(745,3620) = 2696900 / 5
LCM(745,3620) = 539380
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FAQs on GCF of Fractions of 6425/745, 6296/3620
1. What is the HCF of 6425,6296?
The HCF of 6425,6296 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 6425/745, 6296/3620?
Answer: GCF of Numerators as per given numbers 6425/745, 6296/3620 is
GCF of Numerators i.e. for 6425,6296 is 1
LCM of denominators i.e. for 745,3620 is 539380.
Thus, GCF of Fractions is 1/539380.Finally, GCF of Fractions for 6425/745, 6296/3620 is 1/539380.