GCF of 3441/937, 4255/6875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3441/937, 4255/6875 i.e 37/6441875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3441/937, 4255/6875.
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 3441/937,4255/6875?
Given fractions are 3441/937,4255/6875
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 3441/937,4255/6875, numerators are 3441,4255
Denominators are 937,6875
The GCF of 3441,4255 is 37 .
LCM of 937,6875 is 6441875.
The greatest common factor of 3441/937,4255/6875 = [GCF of 3441,4255]/[LCM of 937,6875]= 37/6441875
Therefore, the GCF of 3441/937,4255/6875 is 37/6441875.
To find the highest common factor of 3441,4255, we have to find the factors of both numbers and list the highest common factor.
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255
The HCF of 3441,4255 is 37.
Lets's calculate GCF of 3441,4255
| 37 | 3441, 4255 |
| 93, 115 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 3441,4255 By Matching Biggest Common Factor Method
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Now, list down the factors of 4255
:1,5,23,37,115,185,851,4255
Greatest Common Factor
We found the factors 3441,4255 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,4255 is 37.
Lets's calculate LCM of 937,6875
Given numbers has no common factors except 1. So, there LCM is their product i.e 6441875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/6441875
Therefore, the GCF of Fractions 3441/937,4255/6875 is 37/6441875
Least Common Multiple of 937,6875 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 937,6875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,6875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,6875) x common factors =1 x 1 = 1
LCM(937,6875) = ( 937 × 6875 ) / 1
LCM(937,6875) = 6441875 / 1
LCM(937,6875) = 6441875
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FAQs on GCF of Fractions of 3441/937, 4255/6875
1. What is the HCF of 3441,4255?
The HCF of 3441,4255 is 37
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 3441/937, 4255/6875?
Answer: GCF of Numerators as per given numbers 3441/937, 4255/6875 is
GCF of Numerators i.e. for 3441,4255 is 37
LCM of denominators i.e. for 937,6875 is 6441875.
Thus, GCF of Fractions is 37/6441875.Finally, GCF of Fractions for 3441/937, 4255/6875 is 37/6441875.