GCF of 6575/285, 4982/1101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6575/285, 4982/1101 i.e 1/104595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6575/285, 4982/1101.
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 6575/285,4982/1101?
Given fractions are 6575/285,4982/1101
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 6575/285,4982/1101, numerators are 6575,4982
Denominators are 285,1101
The GCF of 6575,4982 is 1 .
LCM of 285,1101 is 104595.
The greatest common factor of 6575/285,4982/1101 = [GCF of 6575,4982]/[LCM of 285,1101]= 1/104595
Therefore, the GCF of 6575/285,4982/1101 is 1/104595.
To find the highest common factor of 6575,4982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The HCF of 6575,4982 is 1.
Lets's calculate GCF of 6575,4982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6575,4982 By Matching Biggest Common Factor Method
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 6575,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 6575,4982 is 1.
Lets's calculate LCM of 285,1101
| 3 | 285, 1101 |
| 95, 367 |
∴ So the LCM of the given numbers is 3 x 95 x 367 = 104595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104595
Therefore, the GCF of Fractions 6575/285,4982/1101 is 1/104595
Least Common Multiple of 285,1101 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 285,1101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,1101) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,1101) x common factors =3 x 1 = 3
LCM(285,1101) = ( 285 × 1101 ) / 3
LCM(285,1101) = 313785 / 3
LCM(285,1101) = 104595
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FAQs on GCF of Fractions of 6575/285, 4982/1101
1. What is the HCF of 6575,4982?
The HCF of 6575,4982 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 6575/285, 4982/1101?
Answer: GCF of Numerators as per given numbers 6575/285, 4982/1101 is
GCF of Numerators i.e. for 6575,4982 is 1
LCM of denominators i.e. for 285,1101 is 104595.
Thus, GCF of Fractions is 1/104595.Finally, GCF of Fractions for 6575/285, 4982/1101 is 1/104595.