GCF of 8698/709, 1423/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8698/709, 1423/834 i.e 1/591306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8698/709, 1423/834.
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 8698/709,1423/834?
Given fractions are 8698/709,1423/834
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 8698/709,1423/834, numerators are 8698,1423
Denominators are 709,834
The GCF of 8698,1423 is 1 .
LCM of 709,834 is 591306.
The greatest common factor of 8698/709,1423/834 = [GCF of 8698,1423]/[LCM of 709,834]= 1/591306
Therefore, the GCF of 8698/709,1423/834 is 1/591306.
To find the highest common factor of 8698,1423, we have to find the factors of both numbers and list the highest common factor.
The factors of 8698 are 1, 2, 4349, 8698
The factors of 1423 are 1, 1423
The HCF of 8698,1423 is 1.
Lets's calculate GCF of 8698,1423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8698,1423 By Matching Biggest Common Factor Method
Now, list down the factors of 8698
:1,2,4349,8698
Now, list down the factors of 1423
:1,1423
Greatest Common Factor
We found the factors 8698,1423 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,1423 is 1.
Lets's calculate LCM of 709,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 591306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591306
Therefore, the GCF of Fractions 8698/709,1423/834 is 1/591306
Least Common Multiple of 709,834 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 709,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,834) x common factors =1 x 1 = 1
LCM(709,834) = ( 709 × 834 ) / 1
LCM(709,834) = 591306 / 1
LCM(709,834) = 591306
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FAQs on GCF of Fractions of 8698/709, 1423/834
1. What is the HCF of 8698,1423?
The HCF of 8698,1423 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 8698/709, 1423/834?
Answer: GCF of Numerators as per given numbers 8698/709, 1423/834 is
GCF of Numerators i.e. for 8698,1423 is 1
LCM of denominators i.e. for 709,834 is 591306.
Thus, GCF of Fractions is 1/591306.Finally, GCF of Fractions for 8698/709, 1423/834 is 1/591306.