Highest Common Factor of 1602, 2634 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 1602, 2634 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1602, 2634 is 6 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 1602, 2634 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 1602, 2634 is 6.
HCF(1602, 2634) = 6
HCF of 1602, 2634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1602, 2634 is 6.
Highest Common Factor of 1602,2634 is 6
Step 1: Since 2634 > 1602, we apply the division lemma to 2634 and 1602, to get
2634 = 1602 x 1 + 1032
Step 2: Since the reminder 1602 ≠ 0, we apply division lemma to 1032 and 1602, to get
1602 = 1032 x 1 + 570
Step 3: We consider the new divisor 1032 and the new remainder 570, and apply the division lemma to get
1032 = 570 x 1 + 462
We consider the new divisor 570 and the new remainder 462,and apply the division lemma to get
570 = 462 x 1 + 108
We consider the new divisor 462 and the new remainder 108,and apply the division lemma to get
462 = 108 x 4 + 30
We consider the new divisor 108 and the new remainder 30,and apply the division lemma to get
108 = 30 x 3 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1602 and 2634 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(108,30) = HCF(462,108) = HCF(570,462) = HCF(1032,570) = HCF(1602,1032) = HCF(2634,1602) .
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Frequently Asked Questions on HCF of 1602, 2634 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 1602, 2634?
Answer: HCF of 1602, 2634 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1602, 2634 using Euclid's Algorithm?
Answer: For arbitrary numbers 1602, 2634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.