GCF of 833/32, 722/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 833/32, 722/213 i.e 1/6816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/32, 722/213.
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 833/32,722/213?
Given fractions are 833/32,722/213
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 833/32,722/213, numerators are 833,722
Denominators are 32,213
The GCF of 833,722 is 1 .
LCM of 32,213 is 6816.
The greatest common factor of 833/32,722/213 = [GCF of 833,722]/[LCM of 32,213]= 1/6816
Therefore, the GCF of 833/32,722/213 is 1/6816.
To find the highest common factor of 833,722, we have to find the factors of both numbers and list the highest common factor.
The factors of 833 are 1, 7, 17, 49, 119, 833
The factors of 722 are 1, 2, 19, 38, 361, 722
The HCF of 833,722 is 1.
Lets's calculate GCF of 833,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 833,722 By Matching Biggest Common Factor Method
Now, list down the factors of 833
:1,7,17,49,119,833
Now, list down the factors of 722
:1,2,19,38,361,722
Greatest Common Factor
We found the factors 833,722 . The biggest common factor number is the GCF number.
So the greatest common factor 833,722 is 1.
Lets's calculate LCM of 32,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 6816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6816
Therefore, the GCF of Fractions 833/32,722/213 is 1/6816
Least Common Multiple of 32,213 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 32,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,213) x common factors =1 x 1 = 1
LCM(32,213) = ( 32 × 213 ) / 1
LCM(32,213) = 6816 / 1
LCM(32,213) = 6816
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FAQs on GCF of Fractions of 833/32, 722/213
1. What is the HCF of 833,722?
The HCF of 833,722 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 833/32, 722/213?
Answer: GCF of Numerators as per given numbers 833/32, 722/213 is
GCF of Numerators i.e. for 833,722 is 1
LCM of denominators i.e. for 32,213 is 6816.
Thus, GCF of Fractions is 1/6816.Finally, GCF of Fractions for 833/32, 722/213 is 1/6816.