GCF of 3667/266, 4121/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3667/266, 4121/903 i.e 1/34314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3667/266, 4121/903.
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 3667/266,4121/903?
Given fractions are 3667/266,4121/903
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 3667/266,4121/903, numerators are 3667,4121
Denominators are 266,903
The GCF of 3667,4121 is 1 .
LCM of 266,903 is 34314.
The greatest common factor of 3667/266,4121/903 = [GCF of 3667,4121]/[LCM of 266,903]= 1/34314
Therefore, the GCF of 3667/266,4121/903 is 1/34314.
To find the highest common factor of 3667,4121, we have to find the factors of both numbers and list the highest common factor.
The factors of 3667 are 1, 19, 193, 3667
The factors of 4121 are 1, 13, 317, 4121
The HCF of 3667,4121 is 1.
Lets's calculate GCF of 3667,4121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3667,4121 By Matching Biggest Common Factor Method
Now, list down the factors of 3667
:1,19,193,3667
Now, list down the factors of 4121
:1,13,317,4121
Greatest Common Factor
We found the factors 3667,4121 . The biggest common factor number is the GCF number.
So the greatest common factor 3667,4121 is 1.
Lets's calculate LCM of 266,903
| 7 | 266, 903 |
| 38, 129 |
∴ So the LCM of the given numbers is 7 x 38 x 129 = 34314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34314
Therefore, the GCF of Fractions 3667/266,4121/903 is 1/34314
Least Common Multiple of 266,903 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 266,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,903) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(266,903) x common factors =7 x 1 = 7
LCM(266,903) = ( 266 × 903 ) / 7
LCM(266,903) = 240198 / 7
LCM(266,903) = 34314
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FAQs on GCF of Fractions of 3667/266, 4121/903
1. What is the HCF of 3667,4121?
The HCF of 3667,4121 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 3667/266, 4121/903?
Answer: GCF of Numerators as per given numbers 3667/266, 4121/903 is
GCF of Numerators i.e. for 3667,4121 is 1
LCM of denominators i.e. for 266,903 is 34314.
Thus, GCF of Fractions is 1/34314.Finally, GCF of Fractions for 3667/266, 4121/903 is 1/34314.