Highest Common Factor of 8869, 6311 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 8869, 6311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8869, 6311 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 8869, 6311 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 8869, 6311 is 1.
HCF(8869, 6311) = 1
HCF of 8869, 6311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8869, 6311 is 1.
Highest Common Factor of 8869,6311 is 1
Step 1: Since 8869 > 6311, we apply the division lemma to 8869 and 6311, to get
8869 = 6311 x 1 + 2558
Step 2: Since the reminder 6311 ≠ 0, we apply division lemma to 2558 and 6311, to get
6311 = 2558 x 2 + 1195
Step 3: We consider the new divisor 2558 and the new remainder 1195, and apply the division lemma to get
2558 = 1195 x 2 + 168
We consider the new divisor 1195 and the new remainder 168,and apply the division lemma to get
1195 = 168 x 7 + 19
We consider the new divisor 168 and the new remainder 19,and apply the division lemma to get
168 = 19 x 8 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 8869 and 6311 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(168,19) = HCF(1195,168) = HCF(2558,1195) = HCF(6311,2558) = HCF(8869,6311) .
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Frequently Asked Questions on HCF of 8869, 6311 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 8869, 6311?
Answer: HCF of 8869, 6311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8869, 6311 using Euclid's Algorithm?
Answer: For arbitrary numbers 8869, 6311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.