GCF of 1469/642, 8449/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1469/642, 8449/867 i.e 1/185538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/642, 8449/867.
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 1469/642,8449/867?
Given fractions are 1469/642,8449/867
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 1469/642,8449/867, numerators are 1469,8449
Denominators are 642,867
The GCF of 1469,8449 is 1 .
LCM of 642,867 is 185538.
The greatest common factor of 1469/642,8449/867 = [GCF of 1469,8449]/[LCM of 642,867]= 1/185538
Therefore, the GCF of 1469/642,8449/867 is 1/185538.
To find the highest common factor of 1469,8449, we have to find the factors of both numbers and list the highest common factor.
The factors of 1469 are 1, 13, 113, 1469
The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449
The HCF of 1469,8449 is 1.
Lets's calculate GCF of 1469,8449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1469,8449 By Matching Biggest Common Factor Method
Now, list down the factors of 1469
:1,13,113,1469
Now, list down the factors of 8449
:1,7,17,71,119,497,1207,8449
Greatest Common Factor
We found the factors 1469,8449 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,8449 is 1.
Lets's calculate LCM of 642,867
| 3 | 642, 867 |
| 214, 289 |
∴ So the LCM of the given numbers is 3 x 214 x 289 = 185538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185538
Therefore, the GCF of Fractions 1469/642,8449/867 is 1/185538
Least Common Multiple of 642,867 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 642,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,867) x common factors =3 x 1 = 3
LCM(642,867) = ( 642 × 867 ) / 3
LCM(642,867) = 556614 / 3
LCM(642,867) = 185538
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1469/642, 8449/867
1. What is the HCF of 1469,8449?
The HCF of 1469,8449 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 1469/642, 8449/867?
Answer: GCF of Numerators as per given numbers 1469/642, 8449/867 is
GCF of Numerators i.e. for 1469,8449 is 1
LCM of denominators i.e. for 642,867 is 185538.
Thus, GCF of Fractions is 1/185538.Finally, GCF of Fractions for 1469/642, 8449/867 is 1/185538.