GCF of 3271/106, 3019/1148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3271/106, 3019/1148 i.e 1/60844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3271/106, 3019/1148.
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 3271/106,3019/1148?
Given fractions are 3271/106,3019/1148
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 3271/106,3019/1148, numerators are 3271,3019
Denominators are 106,1148
The GCF of 3271,3019 is 1 .
LCM of 106,1148 is 60844.
The greatest common factor of 3271/106,3019/1148 = [GCF of 3271,3019]/[LCM of 106,1148]= 1/60844
Therefore, the GCF of 3271/106,3019/1148 is 1/60844.
To find the highest common factor of 3271,3019, we have to find the factors of both numbers and list the highest common factor.
The factors of 3271 are 1, 3271
The factors of 3019 are 1, 3019
The HCF of 3271,3019 is 1.
Lets's calculate GCF of 3271,3019
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3271,3019 By Matching Biggest Common Factor Method
Now, list down the factors of 3271
:1,3271
Now, list down the factors of 3019
:1,3019
Greatest Common Factor
We found the factors 3271,3019 . The biggest common factor number is the GCF number.
So the greatest common factor 3271,3019 is 1.
Lets's calculate LCM of 106,1148
| 2 | 106, 1148 |
| 53, 574 |
∴ So the LCM of the given numbers is 2 x 53 x 574 = 60844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60844
Therefore, the GCF of Fractions 3271/106,3019/1148 is 1/60844
Least Common Multiple of 106,1148 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 106,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,1148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,1148) x common factors =2 x 1 = 2
LCM(106,1148) = ( 106 × 1148 ) / 2
LCM(106,1148) = 121688 / 2
LCM(106,1148) = 60844
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FAQs on GCF of Fractions of 3271/106, 3019/1148
1. What is the HCF of 3271,3019?
The HCF of 3271,3019 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 3271/106, 3019/1148?
Answer: GCF of Numerators as per given numbers 3271/106, 3019/1148 is
GCF of Numerators i.e. for 3271,3019 is 1
LCM of denominators i.e. for 106,1148 is 60844.
Thus, GCF of Fractions is 1/60844.Finally, GCF of Fractions for 3271/106, 3019/1148 is 1/60844.