Highest Common Factor of 749, 3589 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 749, 3589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 749, 3589 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 749, 3589 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 749, 3589 is 1.
HCF(749, 3589) = 1
HCF of 749, 3589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 749, 3589 is 1.
Highest Common Factor of 749,3589 is 1
Step 1: Since 3589 > 749, we apply the division lemma to 3589 and 749, to get
3589 = 749 x 4 + 593
Step 2: Since the reminder 749 ≠ 0, we apply division lemma to 593 and 749, to get
749 = 593 x 1 + 156
Step 3: We consider the new divisor 593 and the new remainder 156, and apply the division lemma to get
593 = 156 x 3 + 125
We consider the new divisor 156 and the new remainder 125,and apply the division lemma to get
156 = 125 x 1 + 31
We consider the new divisor 125 and the new remainder 31,and apply the division lemma to get
125 = 31 x 4 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 749 and 3589 is 1
Notice that 1 = HCF(31,1) = HCF(125,31) = HCF(156,125) = HCF(593,156) = HCF(749,593) = HCF(3589,749) .
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Frequently Asked Questions on HCF of 749, 3589 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 749, 3589?
Answer: HCF of 749, 3589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 749, 3589 using Euclid's Algorithm?
Answer: For arbitrary numbers 749, 3589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.