GCF of 801/20, 714/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 801/20, 714/241 i.e 3/4820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/20, 714/241.
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 801/20,714/241?
Given fractions are 801/20,714/241
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 801/20,714/241, numerators are 801,714
Denominators are 20,241
The GCF of 801,714 is 3 .
LCM of 20,241 is 4820.
The greatest common factor of 801/20,714/241 = [GCF of 801,714]/[LCM of 20,241]= 3/4820
Therefore, the GCF of 801/20,714/241 is 3/4820.
To find the highest common factor of 801,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 801,714 is 3.
Lets's calculate GCF of 801,714
| 3 | 801, 714 |
| 267, 238 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 801,714 By Matching Biggest Common Factor Method
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 801,714 . The biggest common factor number is the GCF number.
So the greatest common factor 801,714 is 3.
Lets's calculate LCM of 20,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 4820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4820
Therefore, the GCF of Fractions 801/20,714/241 is 3/4820
Least Common Multiple of 20,241 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 20,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,241) x common factors =1 x 1 = 1
LCM(20,241) = ( 20 × 241 ) / 1
LCM(20,241) = 4820 / 1
LCM(20,241) = 4820
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FAQs on GCF of Fractions of 801/20, 714/241
1. What is the HCF of 801,714?
The HCF of 801,714 is 3
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 801/20, 714/241?
Answer: GCF of Numerators as per given numbers 801/20, 714/241 is
GCF of Numerators i.e. for 801,714 is 3
LCM of denominators i.e. for 20,241 is 4820.
Thus, GCF of Fractions is 3/4820.Finally, GCF of Fractions for 801/20, 714/241 is 3/4820.