Highest Common Factor of 8857, 6067 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 8857, 6067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8857, 6067 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 8857, 6067 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 8857, 6067 is 1.
HCF(8857, 6067) = 1
HCF of 8857, 6067 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8857, 6067 is 1.
Highest Common Factor of 8857,6067 is 1
Step 1: Since 8857 > 6067, we apply the division lemma to 8857 and 6067, to get
8857 = 6067 x 1 + 2790
Step 2: Since the reminder 6067 ≠ 0, we apply division lemma to 2790 and 6067, to get
6067 = 2790 x 2 + 487
Step 3: We consider the new divisor 2790 and the new remainder 487, and apply the division lemma to get
2790 = 487 x 5 + 355
We consider the new divisor 487 and the new remainder 355,and apply the division lemma to get
487 = 355 x 1 + 132
We consider the new divisor 355 and the new remainder 132,and apply the division lemma to get
355 = 132 x 2 + 91
We consider the new divisor 132 and the new remainder 91,and apply the division lemma to get
132 = 91 x 1 + 41
We consider the new divisor 91 and the new remainder 41,and apply the division lemma to get
91 = 41 x 2 + 9
We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get
41 = 9 x 4 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 8857 and 6067 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(91,41) = HCF(132,91) = HCF(355,132) = HCF(487,355) = HCF(2790,487) = HCF(6067,2790) = HCF(8857,6067) .
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Frequently Asked Questions on HCF of 8857, 6067 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 8857, 6067?
Answer: HCF of 8857, 6067 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8857, 6067 using Euclid's Algorithm?
Answer: For arbitrary numbers 8857, 6067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.