GCF of 3127/714, 2022/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3127/714, 2022/819 i.e 1/27846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3127/714, 2022/819.
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 3127/714,2022/819?
Given fractions are 3127/714,2022/819
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 3127/714,2022/819, numerators are 3127,2022
Denominators are 714,819
The GCF of 3127,2022 is 1 .
LCM of 714,819 is 27846.
The greatest common factor of 3127/714,2022/819 = [GCF of 3127,2022]/[LCM of 714,819]= 1/27846
Therefore, the GCF of 3127/714,2022/819 is 1/27846.
To find the highest common factor of 3127,2022, we have to find the factors of both numbers and list the highest common factor.
The factors of 3127 are 1, 53, 59, 3127
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The HCF of 3127,2022 is 1.
Lets's calculate GCF of 3127,2022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3127,2022 By Matching Biggest Common Factor Method
Now, list down the factors of 3127
:1,53,59,3127
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Greatest Common Factor
We found the factors 3127,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 3127,2022 is 1.
Lets's calculate LCM of 714,819
| 3 | 714, 819 |
| 7 | 238, 273 |
| 34, 39 |
∴ So the LCM of the given numbers is 3 x 7 x 34 x 39 = 27846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27846
Therefore, the GCF of Fractions 3127/714,2022/819 is 1/27846
Least Common Multiple of 714,819 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 714,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,819) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(714,819) x common factors =21 x 1 = 21
LCM(714,819) = ( 714 × 819 ) / 21
LCM(714,819) = 584766 / 21
LCM(714,819) = 27846
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FAQs on GCF of Fractions of 3127/714, 2022/819
1. What is the HCF of 3127,2022?
The HCF of 3127,2022 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 3127/714, 2022/819?
Answer: GCF of Numerators as per given numbers 3127/714, 2022/819 is
GCF of Numerators i.e. for 3127,2022 is 1
LCM of denominators i.e. for 714,819 is 27846.
Thus, GCF of Fractions is 1/27846.Finally, GCF of Fractions for 3127/714, 2022/819 is 1/27846.