Highest Common Factor of 608, 64019 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 608, 64019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 608, 64019 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 608, 64019 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 608, 64019 is 1.
HCF(608, 64019) = 1
HCF of 608, 64019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 608, 64019 is 1.
Highest Common Factor of 608,64019 is 1
Step 1: Since 64019 > 608, we apply the division lemma to 64019 and 608, to get
64019 = 608 x 105 + 179
Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 179 and 608, to get
608 = 179 x 3 + 71
Step 3: We consider the new divisor 179 and the new remainder 71, and apply the division lemma to get
179 = 71 x 2 + 37
We consider the new divisor 71 and the new remainder 37,and apply the division lemma to get
71 = 37 x 1 + 34
We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 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 608 and 64019 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(71,37) = HCF(179,71) = HCF(608,179) = HCF(64019,608) .
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Frequently Asked Questions on HCF of 608, 64019 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 608, 64019?
Answer: HCF of 608, 64019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 608, 64019 using Euclid's Algorithm?
Answer: For arbitrary numbers 608, 64019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.