Highest Common Factor of 3086, 861 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 3086, 861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3086, 861 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 3086, 861 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 3086, 861 is 1.
HCF(3086, 861) = 1
HCF of 3086, 861 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3086, 861 is 1.
Highest Common Factor of 3086,861 is 1
Step 1: Since 3086 > 861, we apply the division lemma to 3086 and 861, to get
3086 = 861 x 3 + 503
Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 503 and 861, to get
861 = 503 x 1 + 358
Step 3: We consider the new divisor 503 and the new remainder 358, and apply the division lemma to get
503 = 358 x 1 + 145
We consider the new divisor 358 and the new remainder 145,and apply the division lemma to get
358 = 145 x 2 + 68
We consider the new divisor 145 and the new remainder 68,and apply the division lemma to get
145 = 68 x 2 + 9
We consider the new divisor 68 and the new remainder 9,and apply the division lemma to get
68 = 9 x 7 + 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 3086 and 861 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(68,9) = HCF(145,68) = HCF(358,145) = HCF(503,358) = HCF(861,503) = HCF(3086,861) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3086, 861 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 3086, 861?
Answer: HCF of 3086, 861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3086, 861 using Euclid's Algorithm?
Answer: For arbitrary numbers 3086, 861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
