GCF of 890/76, 267/6142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/76, 267/6142 i.e 89/233396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/76, 267/6142.
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 890/76,267/6142?
Given fractions are 890/76,267/6142
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 890/76,267/6142, numerators are 890,267
Denominators are 76,6142
The GCF of 890,267 is 89 .
LCM of 76,6142 is 233396.
The greatest common factor of 890/76,267/6142 = [GCF of 890,267]/[LCM of 76,6142]= 89/233396
Therefore, the GCF of 890/76,267/6142 is 89/233396.
To find the highest common factor of 890,267, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 267 are 1, 3, 89, 267
The HCF of 890,267 is 89.
Lets's calculate GCF of 890,267
| 89 | 890, 267 |
| 10, 3 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 890,267 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 267
:1,3,89,267
Greatest Common Factor
We found the factors 890,267 . The biggest common factor number is the GCF number.
So the greatest common factor 890,267 is 89.
Lets's calculate LCM of 76,6142
| 2 | 76, 6142 |
| 38, 3071 |
∴ So the LCM of the given numbers is 2 x 38 x 3071 = 233396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/233396
Therefore, the GCF of Fractions 890/76,267/6142 is 89/233396
Least Common Multiple of 76,6142 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 76,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,6142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,6142) x common factors =2 x 1 = 2
LCM(76,6142) = ( 76 × 6142 ) / 2
LCM(76,6142) = 466792 / 2
LCM(76,6142) = 233396
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 890/76, 267/6142
1. What is the HCF of 890,267?
The HCF of 890,267 is 89
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 890/76, 267/6142?
Answer: GCF of Numerators as per given numbers 890/76, 267/6142 is
GCF of Numerators i.e. for 890,267 is 89
LCM of denominators i.e. for 76,6142 is 233396.
Thus, GCF of Fractions is 89/233396.Finally, GCF of Fractions for 890/76, 267/6142 is 89/233396.