Highest Common Factor of 613, 950 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 613, 950 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 950 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 613, 950 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 613, 950 is 1.
HCF(613, 950) = 1
HCF of 613, 950 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 950 is 1.
Highest Common Factor of 613,950 is 1
Step 1: Since 950 > 613, we apply the division lemma to 950 and 613, to get
950 = 613 x 1 + 337
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 337 and 613, to get
613 = 337 x 1 + 276
Step 3: We consider the new divisor 337 and the new remainder 276, and apply the division lemma to get
337 = 276 x 1 + 61
We consider the new divisor 276 and the new remainder 61,and apply the division lemma to get
276 = 61 x 4 + 32
We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get
61 = 32 x 1 + 29
We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get
32 = 29 x 1 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 613 and 950 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(276,61) = HCF(337,276) = HCF(613,337) = HCF(950,613) .
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Frequently Asked Questions on HCF of 613, 950 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 613, 950?
Answer: HCF of 613, 950 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 950 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 950 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.