Highest Common Factor of 331, 874, 606, 958 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, 874, 606, 958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 331, 874, 606, 958 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, 874, 606, 958 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, 874, 606, 958 is 1.
HCF(331, 874, 606, 958) = 1
HCF of 331, 874, 606, 958 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, 874, 606, 958 is 1.
Highest Common Factor of 331,874,606,958 is 1
Step 1: Since 874 > 331, we apply the division lemma to 874 and 331, to get
874 = 331 x 2 + 212
Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 212 and 331, to get
331 = 212 x 1 + 119
Step 3: We consider the new divisor 212 and the new remainder 119, and apply the division lemma to get
212 = 119 x 1 + 93
We consider the new divisor 119 and the new remainder 93,and apply the division lemma to get
119 = 93 x 1 + 26
We consider the new divisor 93 and the new remainder 26,and apply the division lemma to get
93 = 26 x 3 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 331 and 874 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(93,26) = HCF(119,93) = HCF(212,119) = HCF(331,212) = HCF(874,331) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 606 > 1, we apply the division lemma to 606 and 1, to get
606 = 1 x 606 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 606 is 1
Notice that 1 = HCF(606,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 958 > 1, we apply the division lemma to 958 and 1, to get
958 = 1 x 958 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 958 is 1
Notice that 1 = HCF(958,1) .
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Frequently Asked Questions on HCF of 331, 874, 606, 958 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, 874, 606, 958?
Answer: HCF of 331, 874, 606, 958 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 331, 874, 606, 958 using Euclid's Algorithm?
Answer: For arbitrary numbers 331, 874, 606, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
