Highest Common Factor of 4642, 8581 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 4642, 8581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4642, 8581 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 4642, 8581 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 4642, 8581 is 1.
HCF(4642, 8581) = 1
HCF of 4642, 8581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4642, 8581 is 1.
Highest Common Factor of 4642,8581 is 1
Step 1: Since 8581 > 4642, we apply the division lemma to 8581 and 4642, to get
8581 = 4642 x 1 + 3939
Step 2: Since the reminder 4642 ≠ 0, we apply division lemma to 3939 and 4642, to get
4642 = 3939 x 1 + 703
Step 3: We consider the new divisor 3939 and the new remainder 703, and apply the division lemma to get
3939 = 703 x 5 + 424
We consider the new divisor 703 and the new remainder 424,and apply the division lemma to get
703 = 424 x 1 + 279
We consider the new divisor 424 and the new remainder 279,and apply the division lemma to get
424 = 279 x 1 + 145
We consider the new divisor 279 and the new remainder 145,and apply the division lemma to get
279 = 145 x 1 + 134
We consider the new divisor 145 and the new remainder 134,and apply the division lemma to get
145 = 134 x 1 + 11
We consider the new divisor 134 and the new remainder 11,and apply the division lemma to get
134 = 11 x 12 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 4642 and 8581 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(134,11) = HCF(145,134) = HCF(279,145) = HCF(424,279) = HCF(703,424) = HCF(3939,703) = HCF(4642,3939) = HCF(8581,4642) .
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Frequently Asked Questions on HCF of 4642, 8581 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 4642, 8581?
Answer: HCF of 4642, 8581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4642, 8581 using Euclid's Algorithm?
Answer: For arbitrary numbers 4642, 8581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.