Highest Common Factor of 8616, 1085 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 8616, 1085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8616, 1085 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 8616, 1085 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 8616, 1085 is 1.
HCF(8616, 1085) = 1
HCF of 8616, 1085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8616, 1085 is 1.
Highest Common Factor of 8616,1085 is 1
Step 1: Since 8616 > 1085, we apply the division lemma to 8616 and 1085, to get
8616 = 1085 x 7 + 1021
Step 2: Since the reminder 1085 ≠ 0, we apply division lemma to 1021 and 1085, to get
1085 = 1021 x 1 + 64
Step 3: We consider the new divisor 1021 and the new remainder 64, and apply the division lemma to get
1021 = 64 x 15 + 61
We consider the new divisor 64 and the new remainder 61,and apply the division lemma to get
64 = 61 x 1 + 3
We consider the new divisor 61 and the new remainder 3,and apply the division lemma to get
61 = 3 x 20 + 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 8616 and 1085 is 1
Notice that 1 = HCF(3,1) = HCF(61,3) = HCF(64,61) = HCF(1021,64) = HCF(1085,1021) = HCF(8616,1085) .
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Frequently Asked Questions on HCF of 8616, 1085 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 8616, 1085?
Answer: HCF of 8616, 1085 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8616, 1085 using Euclid's Algorithm?
Answer: For arbitrary numbers 8616, 1085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.