GCF of 6447/245, 5986/750
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, 5986/750 i.e 1/36750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6447/245, 5986/750.
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 6447/245,5986/750?
Given fractions are 6447/245,5986/750
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 6447/245,5986/750, numerators are 6447,5986
Denominators are 245,750
The GCF of 6447,5986 is 1 .
LCM of 245,750 is 36750.
The greatest common factor of 6447/245,5986/750 = [GCF of 6447,5986]/[LCM of 245,750]= 1/36750
Therefore, the GCF of 6447/245,5986/750 is 1/36750.
To find the highest common factor of 6447,5986, 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 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The HCF of 6447,5986 is 1.
Lets's calculate GCF of 6447,5986
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6447,5986 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 5986
:1,2,41,73,82,146,2993,5986
Greatest Common Factor
We found the factors 6447,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 6447,5986 is 1.
Lets's calculate LCM of 245,750
| 5 | 245, 750 |
| 49, 150 |
∴ So the LCM of the given numbers is 5 x 49 x 150 = 36750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36750
Therefore, the GCF of Fractions 6447/245,5986/750 is 1/36750
Least Common Multiple of 245,750 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 245,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,750) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(245,750) x common factors =5 x 1 = 5
LCM(245,750) = ( 245 × 750 ) / 5
LCM(245,750) = 183750 / 5
LCM(245,750) = 36750
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FAQs on GCF of Fractions of 6447/245, 5986/750
1. What is the HCF of 6447,5986?
The HCF of 6447,5986 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 6447/245, 5986/750?
Answer: GCF of Numerators as per given numbers 6447/245, 5986/750 is
GCF of Numerators i.e. for 6447,5986 is 1
LCM of denominators i.e. for 245,750 is 36750.
Thus, GCF of Fractions is 1/36750.Finally, GCF of Fractions for 6447/245, 5986/750 is 1/36750.