GCF of 4248/272, 3985/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4248/272, 3985/877 i.e 1/238544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4248/272, 3985/877.
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 4248/272,3985/877?
Given fractions are 4248/272,3985/877
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 4248/272,3985/877, numerators are 4248,3985
Denominators are 272,877
The GCF of 4248,3985 is 1 .
LCM of 272,877 is 238544.
The greatest common factor of 4248/272,3985/877 = [GCF of 4248,3985]/[LCM of 272,877]= 1/238544
Therefore, the GCF of 4248/272,3985/877 is 1/238544.
To find the highest common factor of 4248,3985, we have to find the factors of both numbers and list the highest common factor.
The factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248
The factors of 3985 are 1, 5, 797, 3985
The HCF of 4248,3985 is 1.
Lets's calculate GCF of 4248,3985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4248,3985 By Matching Biggest Common Factor Method
Now, list down the factors of 4248
:1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Now, list down the factors of 3985
:1,5,797,3985
Greatest Common Factor
We found the factors 4248,3985 . The biggest common factor number is the GCF number.
So the greatest common factor 4248,3985 is 1.
Lets's calculate LCM of 272,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 238544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238544
Therefore, the GCF of Fractions 4248/272,3985/877 is 1/238544
Least Common Multiple of 272,877 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 272,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,877) x common factors =1 x 1 = 1
LCM(272,877) = ( 272 × 877 ) / 1
LCM(272,877) = 238544 / 1
LCM(272,877) = 238544
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FAQs on GCF of Fractions of 4248/272, 3985/877
1. What is the HCF of 4248,3985?
The HCF of 4248,3985 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 4248/272, 3985/877?
Answer: GCF of Numerators as per given numbers 4248/272, 3985/877 is
GCF of Numerators i.e. for 4248,3985 is 1
LCM of denominators i.e. for 272,877 is 238544.
Thus, GCF of Fractions is 1/238544.Finally, GCF of Fractions for 4248/272, 3985/877 is 1/238544.