Highest Common Factor of 8833, 6138 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 8833, 6138 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 8833, 6138 is 11 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 8833, 6138 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 8833, 6138 is 11.
HCF(8833, 6138) = 11
HCF of 8833, 6138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8833, 6138 is 11.
Highest Common Factor of 8833,6138 is 11
Step 1: Since 8833 > 6138, we apply the division lemma to 8833 and 6138, to get
8833 = 6138 x 1 + 2695
Step 2: Since the reminder 6138 ≠ 0, we apply division lemma to 2695 and 6138, to get
6138 = 2695 x 2 + 748
Step 3: We consider the new divisor 2695 and the new remainder 748, and apply the division lemma to get
2695 = 748 x 3 + 451
We consider the new divisor 748 and the new remainder 451,and apply the division lemma to get
748 = 451 x 1 + 297
We consider the new divisor 451 and the new remainder 297,and apply the division lemma to get
451 = 297 x 1 + 154
We consider the new divisor 297 and the new remainder 154,and apply the division lemma to get
297 = 154 x 1 + 143
We consider the new divisor 154 and the new remainder 143,and apply the division lemma to get
154 = 143 x 1 + 11
We consider the new divisor 143 and the new remainder 11,and apply the division lemma to get
143 = 11 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 8833 and 6138 is 11
Notice that 11 = HCF(143,11) = HCF(154,143) = HCF(297,154) = HCF(451,297) = HCF(748,451) = HCF(2695,748) = HCF(6138,2695) = HCF(8833,6138) .
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Frequently Asked Questions on HCF of 8833, 6138 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 8833, 6138?
Answer: HCF of 8833, 6138 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8833, 6138 using Euclid's Algorithm?
Answer: For arbitrary numbers 8833, 6138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.