GCF of 8575/652, 3969/446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8575/652, 3969/446 i.e 49/145396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8575/652, 3969/446.
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 8575/652,3969/446?
Given fractions are 8575/652,3969/446
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 8575/652,3969/446, numerators are 8575,3969
Denominators are 652,446
The GCF of 8575,3969 is 49 .
LCM of 652,446 is 145396.
The greatest common factor of 8575/652,3969/446 = [GCF of 8575,3969]/[LCM of 652,446]= 49/145396
Therefore, the GCF of 8575/652,3969/446 is 49/145396.
To find the highest common factor of 8575,3969, we have to find the factors of both numbers and list the highest common factor.
The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
The HCF of 8575,3969 is 49.
Lets's calculate GCF of 8575,3969
| 7 | 8575, 3969 |
| 7 | 1225, 567 |
| 175, 81 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 8575,3969 By Matching Biggest Common Factor Method
Now, list down the factors of 8575
:1,5,7,25,35,49,175,245,343,1225,1715,8575
Now, list down the factors of 3969
:1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Greatest Common Factor
We found the factors 8575,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 8575,3969 is 49.
Lets's calculate LCM of 652,446
| 2 | 652, 446 |
| 326, 223 |
∴ So the LCM of the given numbers is 2 x 326 x 223 = 145396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/145396
Therefore, the GCF of Fractions 8575/652,3969/446 is 49/145396
Least Common Multiple of 652,446 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 652,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,446) x common factors =2 x 1 = 2
LCM(652,446) = ( 652 × 446 ) / 2
LCM(652,446) = 290792 / 2
LCM(652,446) = 145396
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FAQs on GCF of Fractions of 8575/652, 3969/446
1. What is the HCF of 8575,3969?
The HCF of 8575,3969 is 49
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 8575/652, 3969/446?
Answer: GCF of Numerators as per given numbers 8575/652, 3969/446 is
GCF of Numerators i.e. for 8575,3969 is 49
LCM of denominators i.e. for 652,446 is 145396.
Thus, GCF of Fractions is 49/145396.Finally, GCF of Fractions for 8575/652, 3969/446 is 49/145396.