Highest Common Factor of 6038, 8640 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 6038, 8640 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6038, 8640 is 2 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 6038, 8640 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 6038, 8640 is 2.
HCF(6038, 8640) = 2
HCF of 6038, 8640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6038, 8640 is 2.
Highest Common Factor of 6038,8640 is 2
Step 1: Since 8640 > 6038, we apply the division lemma to 8640 and 6038, to get
8640 = 6038 x 1 + 2602
Step 2: Since the reminder 6038 ≠ 0, we apply division lemma to 2602 and 6038, to get
6038 = 2602 x 2 + 834
Step 3: We consider the new divisor 2602 and the new remainder 834, and apply the division lemma to get
2602 = 834 x 3 + 100
We consider the new divisor 834 and the new remainder 100,and apply the division lemma to get
834 = 100 x 8 + 34
We consider the new divisor 100 and the new remainder 34,and apply the division lemma to get
100 = 34 x 2 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6038 and 8640 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(100,34) = HCF(834,100) = HCF(2602,834) = HCF(6038,2602) = HCF(8640,6038) .
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Frequently Asked Questions on HCF of 6038, 8640 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 6038, 8640?
Answer: HCF of 6038, 8640 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6038, 8640 using Euclid's Algorithm?
Answer: For arbitrary numbers 6038, 8640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.