Highest Common Factor of 891, 5675 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, 5675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 5675 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, 5675 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, 5675 is 1.
HCF(891, 5675) = 1
HCF of 891, 5675 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, 5675 is 1.
Highest Common Factor of 891,5675 is 1
Step 1: Since 5675 > 891, we apply the division lemma to 5675 and 891, to get
5675 = 891 x 6 + 329
Step 2: Since the reminder 891 ≠ 0, we apply division lemma to 329 and 891, to get
891 = 329 x 2 + 233
Step 3: We consider the new divisor 329 and the new remainder 233, and apply the division lemma to get
329 = 233 x 1 + 96
We consider the new divisor 233 and the new remainder 96,and apply the division lemma to get
233 = 96 x 2 + 41
We consider the new divisor 96 and the new remainder 41,and apply the division lemma to get
96 = 41 x 2 + 14
We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get
41 = 14 x 2 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 891 and 5675 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(96,41) = HCF(233,96) = HCF(329,233) = HCF(891,329) = HCF(5675,891) .
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Frequently Asked Questions on HCF of 891, 5675 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, 5675?
Answer: HCF of 891, 5675 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 5675 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 5675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.