Highest Common Factor of 891, 8485 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 891, 8485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 8485 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 891, 8485 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 891, 8485 is 1.
HCF(891, 8485) = 1
HCF of 891, 8485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 8485 is 1.
Highest Common Factor of 891,8485 is 1
Step 1: Since 8485 > 891, we apply the division lemma to 8485 and 891, to get
8485 = 891 x 9 + 466
Step 2: Since the reminder 891 ≠ 0, we apply division lemma to 466 and 891, to get
891 = 466 x 1 + 425
Step 3: We consider the new divisor 466 and the new remainder 425, and apply the division lemma to get
466 = 425 x 1 + 41
We consider the new divisor 425 and the new remainder 41,and apply the division lemma to get
425 = 41 x 10 + 15
We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get
41 = 15 x 2 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 891 and 8485 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(425,41) = HCF(466,425) = HCF(891,466) = HCF(8485,891) .
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Frequently Asked Questions on HCF of 891, 8485 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 891, 8485?
Answer: HCF of 891, 8485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 8485 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 8485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.