Highest Common Factor of 2434, 1583 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 2434, 1583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2434, 1583 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 2434, 1583 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 2434, 1583 is 1.
HCF(2434, 1583) = 1
HCF of 2434, 1583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2434, 1583 is 1.
Highest Common Factor of 2434,1583 is 1
Step 1: Since 2434 > 1583, we apply the division lemma to 2434 and 1583, to get
2434 = 1583 x 1 + 851
Step 2: Since the reminder 1583 ≠ 0, we apply division lemma to 851 and 1583, to get
1583 = 851 x 1 + 732
Step 3: We consider the new divisor 851 and the new remainder 732, and apply the division lemma to get
851 = 732 x 1 + 119
We consider the new divisor 732 and the new remainder 119,and apply the division lemma to get
732 = 119 x 6 + 18
We consider the new divisor 119 and the new remainder 18,and apply the division lemma to get
119 = 18 x 6 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2434 and 1583 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(119,18) = HCF(732,119) = HCF(851,732) = HCF(1583,851) = HCF(2434,1583) .
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Frequently Asked Questions on HCF of 2434, 1583 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 2434, 1583?
Answer: HCF of 2434, 1583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2434, 1583 using Euclid's Algorithm?
Answer: For arbitrary numbers 2434, 1583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.