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 861, 24631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 24631 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 861, 24631 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 861, 24631 is 1.
HCF(861, 24631) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 24631 is 1.
Step 1: Since 24631 > 861, we apply the division lemma to 24631 and 861, to get
24631 = 861 x 28 + 523
Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 523 and 861, to get
861 = 523 x 1 + 338
Step 3: We consider the new divisor 523 and the new remainder 338, and apply the division lemma to get
523 = 338 x 1 + 185
We consider the new divisor 338 and the new remainder 185,and apply the division lemma to get
338 = 185 x 1 + 153
We consider the new divisor 185 and the new remainder 153,and apply the division lemma to get
185 = 153 x 1 + 32
We consider the new divisor 153 and the new remainder 32,and apply the division lemma to get
153 = 32 x 4 + 25
We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get
32 = 25 x 1 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 861 and 24631 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(153,32) = HCF(185,153) = HCF(338,185) = HCF(523,338) = HCF(861,523) = HCF(24631,861) .
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 861, 24631?
Answer: HCF of 861, 24631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 24631 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 24631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.