Highest Common Factor of 531, 320, 286, 71 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 531, 320, 286, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 320, 286, 71 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 531, 320, 286, 71 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 531, 320, 286, 71 is 1.
HCF(531, 320, 286, 71) = 1
HCF of 531, 320, 286, 71 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 320, 286, 71 is 1.
Highest Common Factor of 531,320,286,71 is 1
Step 1: Since 531 > 320, we apply the division lemma to 531 and 320, to get
531 = 320 x 1 + 211
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 211 and 320, to get
320 = 211 x 1 + 109
Step 3: We consider the new divisor 211 and the new remainder 109, and apply the division lemma to get
211 = 109 x 1 + 102
We consider the new divisor 109 and the new remainder 102,and apply the division lemma to get
109 = 102 x 1 + 7
We consider the new divisor 102 and the new remainder 7,and apply the division lemma to get
102 = 7 x 14 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 531 and 320 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(102,7) = HCF(109,102) = HCF(211,109) = HCF(320,211) = HCF(531,320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 286 > 1, we apply the division lemma to 286 and 1, to get
286 = 1 x 286 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 286 is 1
Notice that 1 = HCF(286,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1
Notice that 1 = HCF(71,1) .
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Frequently Asked Questions on HCF of 531, 320, 286, 71 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 531, 320, 286, 71?
Answer: HCF of 531, 320, 286, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 320, 286, 71 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 320, 286, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.