GCF of 733/209, 6230/1231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 733/209, 6230/1231 i.e 1/257279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/209, 6230/1231.
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 733/209,6230/1231?
Given fractions are 733/209,6230/1231
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 733/209,6230/1231, numerators are 733,6230
Denominators are 209,1231
The GCF of 733,6230 is 1 .
LCM of 209,1231 is 257279.
The greatest common factor of 733/209,6230/1231 = [GCF of 733,6230]/[LCM of 209,1231]= 1/257279
Therefore, the GCF of 733/209,6230/1231 is 1/257279.
To find the highest common factor of 733,6230, we have to find the factors of both numbers and list the highest common factor.
The factors of 733 are 1, 733
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The HCF of 733,6230 is 1.
Lets's calculate GCF of 733,6230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 733,6230 By Matching Biggest Common Factor Method
Now, list down the factors of 733
:1,733
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 733,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 733,6230 is 1.
Lets's calculate LCM of 209,1231
Given numbers has no common factors except 1. So, there LCM is their product i.e 257279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257279
Therefore, the GCF of Fractions 733/209,6230/1231 is 1/257279
Least Common Multiple of 209,1231 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 209,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,1231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,1231) x common factors =1 x 1 = 1
LCM(209,1231) = ( 209 × 1231 ) / 1
LCM(209,1231) = 257279 / 1
LCM(209,1231) = 257279
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FAQs on GCF of Fractions of 733/209, 6230/1231
1. What is the HCF of 733,6230?
The HCF of 733,6230 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 733/209, 6230/1231?
Answer: GCF of Numerators as per given numbers 733/209, 6230/1231 is
GCF of Numerators i.e. for 733,6230 is 1
LCM of denominators i.e. for 209,1231 is 257279.
Thus, GCF of Fractions is 1/257279.Finally, GCF of Fractions for 733/209, 6230/1231 is 1/257279.