Highest Common Factor of 331, 469, 702, 586 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 331, 469, 702, 586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 331, 469, 702, 586 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 331, 469, 702, 586 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 331, 469, 702, 586 is 1.
HCF(331, 469, 702, 586) = 1
HCF of 331, 469, 702, 586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 331, 469, 702, 586 is 1.
Highest Common Factor of 331,469,702,586 is 1
Step 1: Since 469 > 331, we apply the division lemma to 469 and 331, to get
469 = 331 x 1 + 138
Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 138 and 331, to get
331 = 138 x 2 + 55
Step 3: We consider the new divisor 138 and the new remainder 55, and apply the division lemma to get
138 = 55 x 2 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 331 and 469 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(138,55) = HCF(331,138) = HCF(469,331) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get
702 = 1 x 702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1
Notice that 1 = HCF(702,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 586 > 1, we apply the division lemma to 586 and 1, to get
586 = 1 x 586 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 586 is 1
Notice that 1 = HCF(586,1) .
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Frequently Asked Questions on HCF of 331, 469, 702, 586 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 331, 469, 702, 586?
Answer: HCF of 331, 469, 702, 586 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 331, 469, 702, 586 using Euclid's Algorithm?
Answer: For arbitrary numbers 331, 469, 702, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.