GCF of 2827/850, 8557/8176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2827/850, 8557/8176 i.e 1/3474800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2827/850, 8557/8176.
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 2827/850,8557/8176?
Given fractions are 2827/850,8557/8176
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 2827/850,8557/8176, numerators are 2827,8557
Denominators are 850,8176
The GCF of 2827,8557 is 1 .
LCM of 850,8176 is 3474800.
The greatest common factor of 2827/850,8557/8176 = [GCF of 2827,8557]/[LCM of 850,8176]= 1/3474800
Therefore, the GCF of 2827/850,8557/8176 is 1/3474800.
To find the highest common factor of 2827,8557, we have to find the factors of both numbers and list the highest common factor.
The factors of 2827 are 1, 11, 257, 2827
The factors of 8557 are 1, 43, 199, 8557
The HCF of 2827,8557 is 1.
Lets's calculate GCF of 2827,8557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2827,8557 By Matching Biggest Common Factor Method
Now, list down the factors of 2827
:1,11,257,2827
Now, list down the factors of 8557
:1,43,199,8557
Greatest Common Factor
We found the factors 2827,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 2827,8557 is 1.
Lets's calculate LCM of 850,8176
| 2 | 850, 8176 |
| 425, 4088 |
∴ So the LCM of the given numbers is 2 x 425 x 4088 = 3474800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3474800
Therefore, the GCF of Fractions 2827/850,8557/8176 is 1/3474800
Least Common Multiple of 850,8176 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 850,8176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,8176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,8176) x common factors =2 x 1 = 2
LCM(850,8176) = ( 850 × 8176 ) / 2
LCM(850,8176) = 6949600 / 2
LCM(850,8176) = 3474800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2827/850, 8557/8176
1. What is the HCF of 2827,8557?
The HCF of 2827,8557 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 2827/850, 8557/8176?
Answer: GCF of Numerators as per given numbers 2827/850, 8557/8176 is
GCF of Numerators i.e. for 2827,8557 is 1
LCM of denominators i.e. for 850,8176 is 3474800.
Thus, GCF of Fractions is 1/3474800.Finally, GCF of Fractions for 2827/850, 8557/8176 is 1/3474800.