Highest Common Factor of 7635, 601 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 7635, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7635, 601 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 7635, 601 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 7635, 601 is 1.
HCF(7635, 601) = 1
HCF of 7635, 601 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7635, 601 is 1.
Highest Common Factor of 7635,601 is 1
Step 1: Since 7635 > 601, we apply the division lemma to 7635 and 601, to get
7635 = 601 x 12 + 423
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 423 and 601, to get
601 = 423 x 1 + 178
Step 3: We consider the new divisor 423 and the new remainder 178, and apply the division lemma to get
423 = 178 x 2 + 67
We consider the new divisor 178 and the new remainder 67,and apply the division lemma to get
178 = 67 x 2 + 44
We consider the new divisor 67 and the new remainder 44,and apply the division lemma to get
67 = 44 x 1 + 23
We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get
44 = 23 x 1 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 7635 and 601 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(67,44) = HCF(178,67) = HCF(423,178) = HCF(601,423) = HCF(7635,601) .
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Frequently Asked Questions on HCF of 7635, 601 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 7635, 601?
Answer: HCF of 7635, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7635, 601 using Euclid's Algorithm?
Answer: For arbitrary numbers 7635, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.