GCF of 3262/283, 4249/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3262/283, 4249/175 i.e 7/49525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3262/283, 4249/175.
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 3262/283,4249/175?
Given fractions are 3262/283,4249/175
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 3262/283,4249/175, numerators are 3262,4249
Denominators are 283,175
The GCF of 3262,4249 is 7 .
LCM of 283,175 is 49525.
The greatest common factor of 3262/283,4249/175 = [GCF of 3262,4249]/[LCM of 283,175]= 7/49525
Therefore, the GCF of 3262/283,4249/175 is 7/49525.
To find the highest common factor of 3262,4249, we have to find the factors of both numbers and list the highest common factor.
The factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262
The factors of 4249 are 1, 7, 607, 4249
The HCF of 3262,4249 is 7.
Lets's calculate GCF of 3262,4249
| 7 | 3262, 4249 |
| 466, 607 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3262,4249 By Matching Biggest Common Factor Method
Now, list down the factors of 3262
:1,2,7,14,233,466,1631,3262
Now, list down the factors of 4249
:1,7,607,4249
Greatest Common Factor
We found the factors 3262,4249 . The biggest common factor number is the GCF number.
So the greatest common factor 3262,4249 is 7.
Lets's calculate LCM of 283,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 49525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/49525
Therefore, the GCF of Fractions 3262/283,4249/175 is 7/49525
Least Common Multiple of 283,175 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 283,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,175) x common factors =1 x 1 = 1
LCM(283,175) = ( 283 × 175 ) / 1
LCM(283,175) = 49525 / 1
LCM(283,175) = 49525
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FAQs on GCF of Fractions of 3262/283, 4249/175
1. What is the HCF of 3262,4249?
The HCF of 3262,4249 is 7
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 3262/283, 4249/175?
Answer: GCF of Numerators as per given numbers 3262/283, 4249/175 is
GCF of Numerators i.e. for 3262,4249 is 7
LCM of denominators i.e. for 283,175 is 49525.
Thus, GCF of Fractions is 7/49525.Finally, GCF of Fractions for 3262/283, 4249/175 is 7/49525.