Highest Common Factor of 433, 615 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 433, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 433, 615 is 1 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 433, 615 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 433, 615 is 1.
HCF(433, 615) = 1
HCF of 433, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 433, 615 is 1.
Highest Common Factor of 433,615 is 1
Step 1: Since 615 > 433, we apply the division lemma to 615 and 433, to get
615 = 433 x 1 + 182
Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 182 and 433, to get
433 = 182 x 2 + 69
Step 3: We consider the new divisor 182 and the new remainder 69, and apply the division lemma to get
182 = 69 x 2 + 44
We consider the new divisor 69 and the new remainder 44,and apply the division lemma to get
69 = 44 x 1 + 25
We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get
44 = 25 x 1 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 433 and 615 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(69,44) = HCF(182,69) = HCF(433,182) = HCF(615,433) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 433, 615 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 433, 615?
Answer: HCF of 433, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 433, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 433, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.