Highest Common Factor of 726, 605 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 726, 605 i.e. 121 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 605 is 121 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 726, 605 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 726, 605 is 121.
HCF(726, 605) = 121
HCF of 726, 605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 726, 605 is 121.
Highest Common Factor of 726,605 is 121
Step 1: Since 726 > 605, we apply the division lemma to 726 and 605, to get
726 = 605 x 1 + 121
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 121 and 605, to get
605 = 121 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 121, the HCF of 726 and 605 is 121
Notice that 121 = HCF(605,121) = HCF(726,605) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 726, 605 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 726, 605?
Answer: HCF of 726, 605 is 121 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 605 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.