GCF of 8247/444, 8125/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8247/444, 8125/722 i.e 1/160284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8247/444, 8125/722.
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 8247/444,8125/722?
Given fractions are 8247/444,8125/722
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 8247/444,8125/722, numerators are 8247,8125
Denominators are 444,722
The GCF of 8247,8125 is 1 .
LCM of 444,722 is 160284.
The greatest common factor of 8247/444,8125/722 = [GCF of 8247,8125]/[LCM of 444,722]= 1/160284
Therefore, the GCF of 8247/444,8125/722 is 1/160284.
To find the highest common factor of 8247,8125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8247 are 1, 3, 2749, 8247
The factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
The HCF of 8247,8125 is 1.
Lets's calculate GCF of 8247,8125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8247,8125 By Matching Biggest Common Factor Method
Now, list down the factors of 8247
:1,3,2749,8247
Now, list down the factors of 8125
:1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 8247,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 8247,8125 is 1.
Lets's calculate LCM of 444,722
| 2 | 444, 722 |
| 222, 361 |
∴ So the LCM of the given numbers is 2 x 222 x 361 = 160284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160284
Therefore, the GCF of Fractions 8247/444,8125/722 is 1/160284
Least Common Multiple of 444,722 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 444,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(444,722) x common factors =2 x 1 = 2
LCM(444,722) = ( 444 × 722 ) / 2
LCM(444,722) = 320568 / 2
LCM(444,722) = 160284
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FAQs on GCF of Fractions of 8247/444, 8125/722
1. What is the HCF of 8247,8125?
The HCF of 8247,8125 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 8247/444, 8125/722?
Answer: GCF of Numerators as per given numbers 8247/444, 8125/722 is
GCF of Numerators i.e. for 8247,8125 is 1
LCM of denominators i.e. for 444,722 is 160284.
Thus, GCF of Fractions is 1/160284.Finally, GCF of Fractions for 8247/444, 8125/722 is 1/160284.