Highest Common Factor of 544, 689 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 544, 689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 544, 689 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 544, 689 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 544, 689 is 1.
HCF(544, 689) = 1
HCF of 544, 689 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 544, 689 is 1.
Highest Common Factor of 544,689 is 1
Step 1: Since 689 > 544, we apply the division lemma to 689 and 544, to get
689 = 544 x 1 + 145
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 145 and 544, to get
544 = 145 x 3 + 109
Step 3: We consider the new divisor 145 and the new remainder 109, and apply the division lemma to get
145 = 109 x 1 + 36
We consider the new divisor 109 and the new remainder 36,and apply the division lemma to get
109 = 36 x 3 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 544 and 689 is 1
Notice that 1 = HCF(36,1) = HCF(109,36) = HCF(145,109) = HCF(544,145) = HCF(689,544) .
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Frequently Asked Questions on HCF of 544, 689 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 544, 689?
Answer: HCF of 544, 689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 544, 689 using Euclid's Algorithm?
Answer: For arbitrary numbers 544, 689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.