Highest Common Factor of 1061, 4585 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 1061, 4585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1061, 4585 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 1061, 4585 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 1061, 4585 is 1.
HCF(1061, 4585) = 1
HCF of 1061, 4585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1061, 4585 is 1.
Highest Common Factor of 1061,4585 is 1
Step 1: Since 4585 > 1061, we apply the division lemma to 4585 and 1061, to get
4585 = 1061 x 4 + 341
Step 2: Since the reminder 1061 ≠ 0, we apply division lemma to 341 and 1061, to get
1061 = 341 x 3 + 38
Step 3: We consider the new divisor 341 and the new remainder 38, and apply the division lemma to get
341 = 38 x 8 + 37
We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get
38 = 37 x 1 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1061 and 4585 is 1
Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(341,38) = HCF(1061,341) = HCF(4585,1061) .
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Frequently Asked Questions on HCF of 1061, 4585 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 1061, 4585?
Answer: HCF of 1061, 4585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1061, 4585 using Euclid's Algorithm?
Answer: For arbitrary numbers 1061, 4585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.