GCF of 850/82, 851/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 850/82, 851/240 i.e 1/9840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/82, 851/240.
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 850/82,851/240?
Given fractions are 850/82,851/240
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 850/82,851/240, numerators are 850,851
Denominators are 82,240
The GCF of 850,851 is 1 .
LCM of 82,240 is 9840.
The greatest common factor of 850/82,851/240 = [GCF of 850,851]/[LCM of 82,240]= 1/9840
Therefore, the GCF of 850/82,851/240 is 1/9840.
To find the highest common factor of 850,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 851 are 1, 23, 37, 851
The HCF of 850,851 is 1.
Lets's calculate GCF of 850,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 850,851 By Matching Biggest Common Factor Method
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 850,851 . The biggest common factor number is the GCF number.
So the greatest common factor 850,851 is 1.
Lets's calculate LCM of 82,240
| 2 | 82, 240 |
| 41, 120 |
∴ So the LCM of the given numbers is 2 x 41 x 120 = 9840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9840
Therefore, the GCF of Fractions 850/82,851/240 is 1/9840
Least Common Multiple of 82,240 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 82,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,240) x common factors =2 x 1 = 2
LCM(82,240) = ( 82 × 240 ) / 2
LCM(82,240) = 19680 / 2
LCM(82,240) = 9840
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FAQs on GCF of Fractions of 850/82, 851/240
1. What is the HCF of 850,851?
The HCF of 850,851 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 850/82, 851/240?
Answer: GCF of Numerators as per given numbers 850/82, 851/240 is
GCF of Numerators i.e. for 850,851 is 1
LCM of denominators i.e. for 82,240 is 9840.
Thus, GCF of Fractions is 1/9840.Finally, GCF of Fractions for 850/82, 851/240 is 1/9840.