GCF of 6805/392, 2670/2254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/392, 2670/2254 i.e 5/9016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/392, 2670/2254.
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 6805/392,2670/2254?
Given fractions are 6805/392,2670/2254
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 6805/392,2670/2254, numerators are 6805,2670
Denominators are 392,2254
The GCF of 6805,2670 is 5 .
LCM of 392,2254 is 9016.
The greatest common factor of 6805/392,2670/2254 = [GCF of 6805,2670]/[LCM of 392,2254]= 5/9016
Therefore, the GCF of 6805/392,2670/2254 is 5/9016.
To find the highest common factor of 6805,2670, we have to find the factors of both numbers and list the highest common factor.
The factors of 6805 are 1, 5, 1361, 6805
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The HCF of 6805,2670 is 5.
Lets's calculate GCF of 6805,2670
| 5 | 6805, 2670 |
| 1361, 534 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6805,2670 By Matching Biggest Common Factor Method
Now, list down the factors of 6805
:1,5,1361,6805
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Greatest Common Factor
We found the factors 6805,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,2670 is 5.
Lets's calculate LCM of 392,2254
| 2 | 392, 2254 |
| 7 | 196, 1127 |
| 7 | 28, 161 |
| 4, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 4 x 23 = 9016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9016
Therefore, the GCF of Fractions 6805/392,2670/2254 is 5/9016
Least Common Multiple of 392,2254 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 392,2254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,2254) = 98
common factors(in case of two or more numbers have common factors) = 1
GCF(392,2254) x common factors =98 x 1 = 98
LCM(392,2254) = ( 392 × 2254 ) / 98
LCM(392,2254) = 883568 / 98
LCM(392,2254) = 9016
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6805/392, 2670/2254
1. What is the HCF of 6805,2670?
The HCF of 6805,2670 is 5
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 6805/392, 2670/2254?
Answer: GCF of Numerators as per given numbers 6805/392, 2670/2254 is
GCF of Numerators i.e. for 6805,2670 is 5
LCM of denominators i.e. for 392,2254 is 9016.
Thus, GCF of Fractions is 5/9016.Finally, GCF of Fractions for 6805/392, 2670/2254 is 5/9016.