Highest Common Factor of 1051, 9642 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 1051, 9642 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1051, 9642 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 1051, 9642 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 1051, 9642 is 1.
HCF(1051, 9642) = 1
HCF of 1051, 9642 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1051, 9642 is 1.
Highest Common Factor of 1051,9642 is 1
Step 1: Since 9642 > 1051, we apply the division lemma to 9642 and 1051, to get
9642 = 1051 x 9 + 183
Step 2: Since the reminder 1051 ≠ 0, we apply division lemma to 183 and 1051, to get
1051 = 183 x 5 + 136
Step 3: We consider the new divisor 183 and the new remainder 136, and apply the division lemma to get
183 = 136 x 1 + 47
We consider the new divisor 136 and the new remainder 47,and apply the division lemma to get
136 = 47 x 2 + 42
We consider the new divisor 47 and the new remainder 42,and apply the division lemma to get
47 = 42 x 1 + 5
We consider the new divisor 42 and the new remainder 5,and apply the division lemma to get
42 = 5 x 8 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1051 and 9642 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(42,5) = HCF(47,42) = HCF(136,47) = HCF(183,136) = HCF(1051,183) = HCF(9642,1051) .
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Frequently Asked Questions on HCF of 1051, 9642 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 1051, 9642?
Answer: HCF of 1051, 9642 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1051, 9642 using Euclid's Algorithm?
Answer: For arbitrary numbers 1051, 9642 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.