Highest Common Factor of 744, 587 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 744, 587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 587 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 744, 587 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 744, 587 is 1.
HCF(744, 587) = 1
HCF of 744, 587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 587 is 1.
Highest Common Factor of 744,587 is 1
Step 1: Since 744 > 587, we apply the division lemma to 744 and 587, to get
744 = 587 x 1 + 157
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 157 and 587, to get
587 = 157 x 3 + 116
Step 3: We consider the new divisor 157 and the new remainder 116, and apply the division lemma to get
157 = 116 x 1 + 41
We consider the new divisor 116 and the new remainder 41,and apply the division lemma to get
116 = 41 x 2 + 34
We consider the new divisor 41 and the new remainder 34,and apply the division lemma to get
41 = 34 x 1 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 744 and 587 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(41,34) = HCF(116,41) = HCF(157,116) = HCF(587,157) = HCF(744,587) .
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Frequently Asked Questions on HCF of 744, 587 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 744, 587?
Answer: HCF of 744, 587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 587 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.