Highest Common Factor of 331, 731, 422, 191 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, 731, 422, 191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 331, 731, 422, 191 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, 731, 422, 191 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, 731, 422, 191 is 1.
HCF(331, 731, 422, 191) = 1
HCF of 331, 731, 422, 191 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, 731, 422, 191 is 1.
Highest Common Factor of 331,731,422,191 is 1
Step 1: Since 731 > 331, we apply the division lemma to 731 and 331, to get
731 = 331 x 2 + 69
Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 69 and 331, to get
331 = 69 x 4 + 55
Step 3: We consider the new divisor 69 and the new remainder 55, and apply the division lemma to get
69 = 55 x 1 + 14
We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get
55 = 14 x 3 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 331 and 731 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(331,69) = HCF(731,331) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 422 > 1, we apply the division lemma to 422 and 1, to get
422 = 1 x 422 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 422 is 1
Notice that 1 = HCF(422,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 191 > 1, we apply the division lemma to 191 and 1, to get
191 = 1 x 191 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 191 is 1
Notice that 1 = HCF(191,1) .
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Frequently Asked Questions on HCF of 331, 731, 422, 191 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, 731, 422, 191?
Answer: HCF of 331, 731, 422, 191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 331, 731, 422, 191 using Euclid's Algorithm?
Answer: For arbitrary numbers 331, 731, 422, 191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.