Highest Common Factor of 6011, 6111 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 6011, 6111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6011, 6111 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 6011, 6111 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 6011, 6111 is 1.
HCF(6011, 6111) = 1
HCF of 6011, 6111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6011, 6111 is 1.
Highest Common Factor of 6011,6111 is 1
Step 1: Since 6111 > 6011, we apply the division lemma to 6111 and 6011, to get
6111 = 6011 x 1 + 100
Step 2: Since the reminder 6011 ≠ 0, we apply division lemma to 100 and 6011, to get
6011 = 100 x 60 + 11
Step 3: We consider the new divisor 100 and the new remainder 11, and apply the division lemma to get
100 = 11 x 9 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6011 and 6111 is 1
Notice that 1 = HCF(11,1) = HCF(100,11) = HCF(6011,100) = HCF(6111,6011) .
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Frequently Asked Questions on HCF of 6011, 6111 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 6011, 6111?
Answer: HCF of 6011, 6111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6011, 6111 using Euclid's Algorithm?
Answer: For arbitrary numbers 6011, 6111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.