Highest Common Factor of 520, 367, 31 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 520, 367, 31 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 367, 31 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 520, 367, 31 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 520, 367, 31 is 1.
HCF(520, 367, 31) = 1
HCF of 520, 367, 31 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 367, 31 is 1.
Highest Common Factor of 520,367,31 is 1
Step 1: Since 520 > 367, we apply the division lemma to 520 and 367, to get
520 = 367 x 1 + 153
Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 153 and 367, to get
367 = 153 x 2 + 61
Step 3: We consider the new divisor 153 and the new remainder 61, and apply the division lemma to get
153 = 61 x 2 + 31
We consider the new divisor 61 and the new remainder 31,and apply the division lemma to get
61 = 31 x 1 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 520 and 367 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(61,31) = HCF(153,61) = HCF(367,153) = HCF(520,367) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 31 > 1, we apply the division lemma to 31 and 1, 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 1 and 31 is 1
Notice that 1 = HCF(31,1) .
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Frequently Asked Questions on HCF of 520, 367, 31 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 520, 367, 31?
Answer: HCF of 520, 367, 31 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 367, 31 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 367, 31 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.