Highest Common Factor of 607, 384 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 607, 384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 384 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 607, 384 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 607, 384 is 1.
HCF(607, 384) = 1
HCF of 607, 384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 384 is 1.
Highest Common Factor of 607,384 is 1
Step 1: Since 607 > 384, we apply the division lemma to 607 and 384, to get
607 = 384 x 1 + 223
Step 2: Since the reminder 384 ≠ 0, we apply division lemma to 223 and 384, to get
384 = 223 x 1 + 161
Step 3: We consider the new divisor 223 and the new remainder 161, and apply the division lemma to get
223 = 161 x 1 + 62
We consider the new divisor 161 and the new remainder 62,and apply the division lemma to get
161 = 62 x 2 + 37
We consider the new divisor 62 and the new remainder 37,and apply the division lemma to get
62 = 37 x 1 + 25
We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get
37 = 25 x 1 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 384 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(62,37) = HCF(161,62) = HCF(223,161) = HCF(384,223) = HCF(607,384) .
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Frequently Asked Questions on HCF of 607, 384 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 607, 384?
Answer: HCF of 607, 384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 384 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.