GCF of 6447/245, 7725/9533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6447/245, 7725/9533 i.e 3/2335585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6447/245, 7725/9533.
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 6447/245,7725/9533?
Given fractions are 6447/245,7725/9533
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 6447/245,7725/9533, numerators are 6447,7725
Denominators are 245,9533
The GCF of 6447,7725 is 3 .
LCM of 245,9533 is 2335585.
The greatest common factor of 6447/245,7725/9533 = [GCF of 6447,7725]/[LCM of 245,9533]= 3/2335585
Therefore, the GCF of 6447/245,7725/9533 is 3/2335585.
To find the highest common factor of 6447,7725, we have to find the factors of both numbers and list the highest common factor.
The factors of 6447 are 1, 3, 7, 21, 307, 921, 2149, 6447
The factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
The HCF of 6447,7725 is 3.
Lets's calculate GCF of 6447,7725
| 3 | 6447, 7725 |
| 2149, 2575 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6447,7725 By Matching Biggest Common Factor Method
Now, list down the factors of 6447
:1,3,7,21,307,921,2149,6447
Now, list down the factors of 7725
:1,3,5,15,25,75,103,309,515,1545,2575,7725
Greatest Common Factor
We found the factors 6447,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 6447,7725 is 3.
Lets's calculate LCM of 245,9533
Given numbers has no common factors except 1. So, there LCM is their product i.e 2335585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2335585
Therefore, the GCF of Fractions 6447/245,7725/9533 is 3/2335585
Least Common Multiple of 245,9533 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 245,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,9533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,9533) x common factors =1 x 1 = 1
LCM(245,9533) = ( 245 × 9533 ) / 1
LCM(245,9533) = 2335585 / 1
LCM(245,9533) = 2335585
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FAQs on GCF of Fractions of 6447/245, 7725/9533
1. What is the HCF of 6447,7725?
The HCF of 6447,7725 is 3
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 6447/245, 7725/9533?
Answer: GCF of Numerators as per given numbers 6447/245, 7725/9533 is
GCF of Numerators i.e. for 6447,7725 is 3
LCM of denominators i.e. for 245,9533 is 2335585.
Thus, GCF of Fractions is 3/2335585.Finally, GCF of Fractions for 6447/245, 7725/9533 is 3/2335585.