GCF of 1807/201, 8001/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1807/201, 8001/134 i.e 1/402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1807/201, 8001/134.
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 1807/201,8001/134?
Given fractions are 1807/201,8001/134
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 1807/201,8001/134, numerators are 1807,8001
Denominators are 201,134
The GCF of 1807,8001 is 1 .
LCM of 201,134 is 402.
The greatest common factor of 1807/201,8001/134 = [GCF of 1807,8001]/[LCM of 201,134]= 1/402
Therefore, the GCF of 1807/201,8001/134 is 1/402.
To find the highest common factor of 1807,8001, we have to find the factors of both numbers and list the highest common factor.
The factors of 1807 are 1, 13, 139, 1807
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The HCF of 1807,8001 is 1.
Lets's calculate GCF of 1807,8001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1807,8001 By Matching Biggest Common Factor Method
Now, list down the factors of 1807
:1,13,139,1807
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors 1807,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 1807,8001 is 1.
Lets's calculate LCM of 201,134
| 67 | 201, 134 |
| 3, 2 |
∴ So the LCM of the given numbers is 67 x 3 x 2 = 402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402
Therefore, the GCF of Fractions 1807/201,8001/134 is 1/402
Least Common Multiple of 201,134 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 201,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,134) = 67
common factors(in case of two or more numbers have common factors) = 1
GCF(201,134) x common factors =67 x 1 = 67
LCM(201,134) = ( 201 × 134 ) / 67
LCM(201,134) = 26934 / 67
LCM(201,134) = 402
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FAQs on GCF of Fractions of 1807/201, 8001/134
1. What is the HCF of 1807,8001?
The HCF of 1807,8001 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 1807/201, 8001/134?
Answer: GCF of Numerators as per given numbers 1807/201, 8001/134 is
GCF of Numerators i.e. for 1807,8001 is 1
LCM of denominators i.e. for 201,134 is 402.
Thus, GCF of Fractions is 1/402.Finally, GCF of Fractions for 1807/201, 8001/134 is 1/402.