Highest Common Factor of 638, 72019 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 638, 72019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 638, 72019 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 638, 72019 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 638, 72019 is 1.
HCF(638, 72019) = 1
HCF of 638, 72019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 638, 72019 is 1.
Highest Common Factor of 638,72019 is 1
Step 1: Since 72019 > 638, we apply the division lemma to 72019 and 638, to get
72019 = 638 x 112 + 563
Step 2: Since the reminder 638 ≠ 0, we apply division lemma to 563 and 638, to get
638 = 563 x 1 + 75
Step 3: We consider the new divisor 563 and the new remainder 75, and apply the division lemma to get
563 = 75 x 7 + 38
We consider the new divisor 75 and the new remainder 38,and apply the division lemma to get
75 = 38 x 1 + 37
We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get
38 = 37 x 1 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 638 and 72019 is 1
Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(75,38) = HCF(563,75) = HCF(638,563) = HCF(72019,638) .
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Frequently Asked Questions on HCF of 638, 72019 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 638, 72019?
Answer: HCF of 638, 72019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 638, 72019 using Euclid's Algorithm?
Answer: For arbitrary numbers 638, 72019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.