Highest Common Factor of 1087, 4086 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 1087, 4086 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1087, 4086 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 1087, 4086 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 1087, 4086 is 1.
HCF(1087, 4086) = 1
HCF of 1087, 4086 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1087, 4086 is 1.
Highest Common Factor of 1087,4086 is 1
Step 1: Since 4086 > 1087, we apply the division lemma to 4086 and 1087, to get
4086 = 1087 x 3 + 825
Step 2: Since the reminder 1087 ≠ 0, we apply division lemma to 825 and 1087, to get
1087 = 825 x 1 + 262
Step 3: We consider the new divisor 825 and the new remainder 262, and apply the division lemma to get
825 = 262 x 3 + 39
We consider the new divisor 262 and the new remainder 39,and apply the division lemma to get
262 = 39 x 6 + 28
We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get
39 = 28 x 1 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1087 and 4086 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(262,39) = HCF(825,262) = HCF(1087,825) = HCF(4086,1087) .
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Frequently Asked Questions on HCF of 1087, 4086 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 1087, 4086?
Answer: HCF of 1087, 4086 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1087, 4086 using Euclid's Algorithm?
Answer: For arbitrary numbers 1087, 4086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
