Highest Common Factor of 2129, 7838 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 2129, 7838 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2129, 7838 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 2129, 7838 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 2129, 7838 is 1.
HCF(2129, 7838) = 1
HCF of 2129, 7838 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2129, 7838 is 1.
Highest Common Factor of 2129,7838 is 1
Step 1: Since 7838 > 2129, we apply the division lemma to 7838 and 2129, to get
7838 = 2129 x 3 + 1451
Step 2: Since the reminder 2129 ≠ 0, we apply division lemma to 1451 and 2129, to get
2129 = 1451 x 1 + 678
Step 3: We consider the new divisor 1451 and the new remainder 678, and apply the division lemma to get
1451 = 678 x 2 + 95
We consider the new divisor 678 and the new remainder 95,and apply the division lemma to get
678 = 95 x 7 + 13
We consider the new divisor 95 and the new remainder 13,and apply the division lemma to get
95 = 13 x 7 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2129 and 7838 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(95,13) = HCF(678,95) = HCF(1451,678) = HCF(2129,1451) = HCF(7838,2129) .
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Frequently Asked Questions on HCF of 2129, 7838 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 2129, 7838?
Answer: HCF of 2129, 7838 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2129, 7838 using Euclid's Algorithm?
Answer: For arbitrary numbers 2129, 7838 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.