GCF of 703/233, 1749/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/233, 1749/867 i.e 1/202011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/233, 1749/867.
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 703/233,1749/867?
Given fractions are 703/233,1749/867
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 703/233,1749/867, numerators are 703,1749
Denominators are 233,867
The GCF of 703,1749 is 1 .
LCM of 233,867 is 202011.
The greatest common factor of 703/233,1749/867 = [GCF of 703,1749]/[LCM of 233,867]= 1/202011
Therefore, the GCF of 703/233,1749/867 is 1/202011.
To find the highest common factor of 703,1749, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 703,1749 is 1.
Lets's calculate GCF of 703,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 703,1749 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 703,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 703,1749 is 1.
Lets's calculate LCM of 233,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 202011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202011
Therefore, the GCF of Fractions 703/233,1749/867 is 1/202011
Least Common Multiple of 233,867 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 233,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,867) x common factors =1 x 1 = 1
LCM(233,867) = ( 233 × 867 ) / 1
LCM(233,867) = 202011 / 1
LCM(233,867) = 202011
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 703/233, 1749/867
1. What is the HCF of 703,1749?
The HCF of 703,1749 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 703/233, 1749/867?
Answer: GCF of Numerators as per given numbers 703/233, 1749/867 is
GCF of Numerators i.e. for 703,1749 is 1
LCM of denominators i.e. for 233,867 is 202011.
Thus, GCF of Fractions is 1/202011.Finally, GCF of Fractions for 703/233, 1749/867 is 1/202011.