Highest Common Factor of 6101, 4095 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 6101, 4095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6101, 4095 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 6101, 4095 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 6101, 4095 is 1.
HCF(6101, 4095) = 1
HCF of 6101, 4095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6101, 4095 is 1.
Highest Common Factor of 6101,4095 is 1
Step 1: Since 6101 > 4095, we apply the division lemma to 6101 and 4095, to get
6101 = 4095 x 1 + 2006
Step 2: Since the reminder 4095 ≠ 0, we apply division lemma to 2006 and 4095, to get
4095 = 2006 x 2 + 83
Step 3: We consider the new divisor 2006 and the new remainder 83, and apply the division lemma to get
2006 = 83 x 24 + 14
We consider the new divisor 83 and the new remainder 14,and apply the division lemma to get
83 = 14 x 5 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6101 and 4095 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(83,14) = HCF(2006,83) = HCF(4095,2006) = HCF(6101,4095) .
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Frequently Asked Questions on HCF of 6101, 4095 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 6101, 4095?
Answer: HCF of 6101, 4095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6101, 4095 using Euclid's Algorithm?
Answer: For arbitrary numbers 6101, 4095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.