Highest Common Factor of 8061, 8961 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 8061, 8961 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8061, 8961 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 8061, 8961 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 8061, 8961 is 3.
HCF(8061, 8961) = 3
HCF of 8061, 8961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8061, 8961 is 3.
Highest Common Factor of 8061,8961 is 3
Step 1: Since 8961 > 8061, we apply the division lemma to 8961 and 8061, to get
8961 = 8061 x 1 + 900
Step 2: Since the reminder 8061 ≠ 0, we apply division lemma to 900 and 8061, to get
8061 = 900 x 8 + 861
Step 3: We consider the new divisor 900 and the new remainder 861, and apply the division lemma to get
900 = 861 x 1 + 39
We consider the new divisor 861 and the new remainder 39,and apply the division lemma to get
861 = 39 x 22 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8061 and 8961 is 3
Notice that 3 = HCF(39,3) = HCF(861,39) = HCF(900,861) = HCF(8061,900) = HCF(8961,8061) .
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Frequently Asked Questions on HCF of 8061, 8961 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 8061, 8961?
Answer: HCF of 8061, 8961 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8061, 8961 using Euclid's Algorithm?
Answer: For arbitrary numbers 8061, 8961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.