Highest Common Factor of 892, 46107 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 892, 46107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 46107 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 892, 46107 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 892, 46107 is 1.
HCF(892, 46107) = 1
HCF of 892, 46107 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 46107 is 1.
Highest Common Factor of 892,46107 is 1
Step 1: Since 46107 > 892, we apply the division lemma to 46107 and 892, to get
46107 = 892 x 51 + 615
Step 2: Since the reminder 892 ≠ 0, we apply division lemma to 615 and 892, to get
892 = 615 x 1 + 277
Step 3: We consider the new divisor 615 and the new remainder 277, and apply the division lemma to get
615 = 277 x 2 + 61
We consider the new divisor 277 and the new remainder 61,and apply the division lemma to get
277 = 61 x 4 + 33
We consider the new divisor 61 and the new remainder 33,and apply the division lemma to get
61 = 33 x 1 + 28
We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get
33 = 28 x 1 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 892 and 46107 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(61,33) = HCF(277,61) = HCF(615,277) = HCF(892,615) = HCF(46107,892) .
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Frequently Asked Questions on HCF of 892, 46107 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 892, 46107?
Answer: HCF of 892, 46107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 46107 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 46107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.