Highest Common Factor of 885, 8641, 3906 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 885, 8641, 3906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 8641, 3906 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 885, 8641, 3906 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 885, 8641, 3906 is 1.
HCF(885, 8641, 3906) = 1
HCF of 885, 8641, 3906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 8641, 3906 is 1.
Highest Common Factor of 885,8641,3906 is 1
Step 1: Since 8641 > 885, we apply the division lemma to 8641 and 885, to get
8641 = 885 x 9 + 676
Step 2: Since the reminder 885 ≠ 0, we apply division lemma to 676 and 885, to get
885 = 676 x 1 + 209
Step 3: We consider the new divisor 676 and the new remainder 209, and apply the division lemma to get
676 = 209 x 3 + 49
We consider the new divisor 209 and the new remainder 49,and apply the division lemma to get
209 = 49 x 4 + 13
We consider the new divisor 49 and the new remainder 13,and apply the division lemma to get
49 = 13 x 3 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 885 and 8641 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(49,13) = HCF(209,49) = HCF(676,209) = HCF(885,676) = HCF(8641,885) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3906 > 1, we apply the division lemma to 3906 and 1, to get
3906 = 1 x 3906 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3906 is 1
Notice that 1 = HCF(3906,1) .
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Frequently Asked Questions on HCF of 885, 8641, 3906 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 885, 8641, 3906?
Answer: HCF of 885, 8641, 3906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 8641, 3906 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 8641, 3906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.