Highest Common Factor of 367, 506 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 367, 506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 367, 506 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 367, 506 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 367, 506 is 1.
HCF(367, 506) = 1
HCF of 367, 506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 367, 506 is 1.
Highest Common Factor of 367,506 is 1
Step 1: Since 506 > 367, we apply the division lemma to 506 and 367, to get
506 = 367 x 1 + 139
Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 139 and 367, to get
367 = 139 x 2 + 89
Step 3: We consider the new divisor 139 and the new remainder 89, and apply the division lemma to get
139 = 89 x 1 + 50
We consider the new divisor 89 and the new remainder 50,and apply the division lemma to get
89 = 50 x 1 + 39
We consider the new divisor 50 and the new remainder 39,and apply the division lemma to get
50 = 39 x 1 + 11
We consider the new divisor 39 and the new remainder 11,and apply the division lemma to get
39 = 11 x 3 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 367 and 506 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(39,11) = HCF(50,39) = HCF(89,50) = HCF(139,89) = HCF(367,139) = HCF(506,367) .
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Frequently Asked Questions on HCF of 367, 506 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 367, 506?
Answer: HCF of 367, 506 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 367, 506 using Euclid's Algorithm?
Answer: For arbitrary numbers 367, 506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.