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 646, 69032 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 69032 is 2 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 646, 69032 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 646, 69032 is 2.
HCF(646, 69032) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 646, 69032 is 2.
Step 1: Since 69032 > 646, we apply the division lemma to 69032 and 646, to get
69032 = 646 x 106 + 556
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 556 and 646, to get
646 = 556 x 1 + 90
Step 3: We consider the new divisor 556 and the new remainder 90, and apply the division lemma to get
556 = 90 x 6 + 16
We consider the new divisor 90 and the new remainder 16,and apply the division lemma to get
90 = 16 x 5 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 646 and 69032 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(90,16) = HCF(556,90) = HCF(646,556) = HCF(69032,646) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 646, 69032?
Answer: HCF of 646, 69032 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 69032 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 69032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.