Highest Common Factor of 365, 591, 736 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 365, 591, 736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 365, 591, 736 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 365, 591, 736 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 365, 591, 736 is 1.
HCF(365, 591, 736) = 1
HCF of 365, 591, 736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 365, 591, 736 is 1.
Highest Common Factor of 365,591,736 is 1
Step 1: Since 591 > 365, we apply the division lemma to 591 and 365, to get
591 = 365 x 1 + 226
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 226 and 365, to get
365 = 226 x 1 + 139
Step 3: We consider the new divisor 226 and the new remainder 139, and apply the division lemma to get
226 = 139 x 1 + 87
We consider the new divisor 139 and the new remainder 87,and apply the division lemma to get
139 = 87 x 1 + 52
We consider the new divisor 87 and the new remainder 52,and apply the division lemma to get
87 = 52 x 1 + 35
We consider the new divisor 52 and the new remainder 35,and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 365 and 591 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(87,52) = HCF(139,87) = HCF(226,139) = HCF(365,226) = HCF(591,365) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 736 > 1, we apply the division lemma to 736 and 1, to get
736 = 1 x 736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 736 is 1
Notice that 1 = HCF(736,1) .
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Frequently Asked Questions on HCF of 365, 591, 736 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 365, 591, 736?
Answer: HCF of 365, 591, 736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 365, 591, 736 using Euclid's Algorithm?
Answer: For arbitrary numbers 365, 591, 736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.