GCF of 1870/714, 6828/4491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1870/714, 6828/4491 i.e 2/1068858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1870/714, 6828/4491.
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 1870/714,6828/4491?
Given fractions are 1870/714,6828/4491
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 1870/714,6828/4491, numerators are 1870,6828
Denominators are 714,4491
The GCF of 1870,6828 is 2 .
LCM of 714,4491 is 1068858.
The greatest common factor of 1870/714,6828/4491 = [GCF of 1870,6828]/[LCM of 714,4491]= 2/1068858
Therefore, the GCF of 1870/714,6828/4491 is 2/1068858.
To find the highest common factor of 1870,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 1870,6828 is 2.
Lets's calculate GCF of 1870,6828
| 2 | 1870, 6828 |
| 935, 3414 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1870,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 1870,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,6828 is 2.
Lets's calculate LCM of 714,4491
| 3 | 714, 4491 |
| 238, 1497 |
∴ So the LCM of the given numbers is 3 x 238 x 1497 = 1068858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1068858
Therefore, the GCF of Fractions 1870/714,6828/4491 is 2/1068858
Least Common Multiple of 714,4491 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 714,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,4491) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,4491) x common factors =3 x 1 = 3
LCM(714,4491) = ( 714 × 4491 ) / 3
LCM(714,4491) = 3206574 / 3
LCM(714,4491) = 1068858
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1870/714, 6828/4491
1. What is the HCF of 1870,6828?
The HCF of 1870,6828 is 2
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 1870/714, 6828/4491?
Answer: GCF of Numerators as per given numbers 1870/714, 6828/4491 is
GCF of Numerators i.e. for 1870,6828 is 2
LCM of denominators i.e. for 714,4491 is 1068858.
Thus, GCF of Fractions is 2/1068858.Finally, GCF of Fractions for 1870/714, 6828/4491 is 2/1068858.