Highest Common Factor of 861, 8835 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 861, 8835 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 8835 is 3 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 861, 8835 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 861, 8835 is 3.
HCF(861, 8835) = 3
HCF of 861, 8835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 8835 is 3.
Highest Common Factor of 861,8835 is 3
Step 1: Since 8835 > 861, we apply the division lemma to 8835 and 861, to get
8835 = 861 x 10 + 225
Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 225 and 861, to get
861 = 225 x 3 + 186
Step 3: We consider the new divisor 225 and the new remainder 186, and apply the division lemma to get
225 = 186 x 1 + 39
We consider the new divisor 186 and the new remainder 39,and apply the division lemma to get
186 = 39 x 4 + 30
We consider the new divisor 39 and the new remainder 30,and apply the division lemma to get
39 = 30 x 1 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 861 and 8835 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(39,30) = HCF(186,39) = HCF(225,186) = HCF(861,225) = HCF(8835,861) .
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Frequently Asked Questions on HCF of 861, 8835 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 861, 8835?
Answer: HCF of 861, 8835 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 8835 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 8835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.