GCF of 2171/912, 4827/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2171/912, 4827/714 i.e 1/108528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2171/912, 4827/714.
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 2171/912,4827/714?
Given fractions are 2171/912,4827/714
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 2171/912,4827/714, numerators are 2171,4827
Denominators are 912,714
The GCF of 2171,4827 is 1 .
LCM of 912,714 is 108528.
The greatest common factor of 2171/912,4827/714 = [GCF of 2171,4827]/[LCM of 912,714]= 1/108528
Therefore, the GCF of 2171/912,4827/714 is 1/108528.
To find the highest common factor of 2171,4827, we have to find the factors of both numbers and list the highest common factor.
The factors of 2171 are 1, 13, 167, 2171
The factors of 4827 are 1, 3, 1609, 4827
The HCF of 2171,4827 is 1.
Lets's calculate GCF of 2171,4827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2171,4827 By Matching Biggest Common Factor Method
Now, list down the factors of 2171
:1,13,167,2171
Now, list down the factors of 4827
:1,3,1609,4827
Greatest Common Factor
We found the factors 2171,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 2171,4827 is 1.
Lets's calculate LCM of 912,714
| 2 | 912, 714 |
| 3 | 456, 357 |
| 152, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 152 x 119 = 108528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108528
Therefore, the GCF of Fractions 2171/912,4827/714 is 1/108528
Least Common Multiple of 912,714 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 912,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(912,714) x common factors =6 x 1 = 6
LCM(912,714) = ( 912 × 714 ) / 6
LCM(912,714) = 651168 / 6
LCM(912,714) = 108528
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2171/912, 4827/714
1. What is the HCF of 2171,4827?
The HCF of 2171,4827 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 2171/912, 4827/714?
Answer: GCF of Numerators as per given numbers 2171/912, 4827/714 is
GCF of Numerators i.e. for 2171,4827 is 1
LCM of denominators i.e. for 912,714 is 108528.
Thus, GCF of Fractions is 1/108528.Finally, GCF of Fractions for 2171/912, 4827/714 is 1/108528.