Highest Common Factor of 674, 63073 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 674, 63073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 674, 63073 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 674, 63073 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 674, 63073 is 1.
HCF(674, 63073) = 1
HCF of 674, 63073 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 674, 63073 is 1.
Highest Common Factor of 674,63073 is 1
Step 1: Since 63073 > 674, we apply the division lemma to 63073 and 674, to get
63073 = 674 x 93 + 391
Step 2: Since the reminder 674 ≠ 0, we apply division lemma to 391 and 674, to get
674 = 391 x 1 + 283
Step 3: We consider the new divisor 391 and the new remainder 283, and apply the division lemma to get
391 = 283 x 1 + 108
We consider the new divisor 283 and the new remainder 108,and apply the division lemma to get
283 = 108 x 2 + 67
We consider the new divisor 108 and the new remainder 67,and apply the division lemma to get
108 = 67 x 1 + 41
We consider the new divisor 67 and the new remainder 41,and apply the division lemma to get
67 = 41 x 1 + 26
We consider the new divisor 41 and the new remainder 26,and apply the division lemma to get
41 = 26 x 1 + 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 674 and 63073 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(41,26) = HCF(67,41) = HCF(108,67) = HCF(283,108) = HCF(391,283) = HCF(674,391) = HCF(63073,674) .
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Frequently Asked Questions on HCF of 674, 63073 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 674, 63073?
Answer: HCF of 674, 63073 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 674, 63073 using Euclid's Algorithm?
Answer: For arbitrary numbers 674, 63073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.