Highest Common Factor of 958, 142, 409 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 958, 142, 409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 958, 142, 409 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 958, 142, 409 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 958, 142, 409 is 1.
HCF(958, 142, 409) = 1
HCF of 958, 142, 409 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 958, 142, 409 is 1.
Highest Common Factor of 958,142,409 is 1
Step 1: Since 958 > 142, we apply the division lemma to 958 and 142, to get
958 = 142 x 6 + 106
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 106 and 142, to get
142 = 106 x 1 + 36
Step 3: We consider the new divisor 106 and the new remainder 36, and apply the division lemma to get
106 = 36 x 2 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 958 and 142 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(106,36) = HCF(142,106) = HCF(958,142) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 409 > 2, we apply the division lemma to 409 and 2, to get
409 = 2 x 204 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 409 is 1
Notice that 1 = HCF(2,1) = HCF(409,2) .
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Frequently Asked Questions on HCF of 958, 142, 409 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 958, 142, 409?
Answer: HCF of 958, 142, 409 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 958, 142, 409 using Euclid's Algorithm?
Answer: For arbitrary numbers 958, 142, 409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.