Highest Common Factor of 2092, 6181 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 2092, 6181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2092, 6181 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 2092, 6181 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 2092, 6181 is 1.
HCF(2092, 6181) = 1
HCF of 2092, 6181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2092, 6181 is 1.
Highest Common Factor of 2092,6181 is 1
Step 1: Since 6181 > 2092, we apply the division lemma to 6181 and 2092, to get
6181 = 2092 x 2 + 1997
Step 2: Since the reminder 2092 ≠ 0, we apply division lemma to 1997 and 2092, to get
2092 = 1997 x 1 + 95
Step 3: We consider the new divisor 1997 and the new remainder 95, and apply the division lemma to get
1997 = 95 x 21 + 2
We consider the new divisor 95 and the new remainder 2,and apply the division lemma to get
95 = 2 x 47 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2092 and 6181 is 1
Notice that 1 = HCF(2,1) = HCF(95,2) = HCF(1997,95) = HCF(2092,1997) = HCF(6181,2092) .
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Frequently Asked Questions on HCF of 2092, 6181 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 2092, 6181?
Answer: HCF of 2092, 6181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2092, 6181 using Euclid's Algorithm?
Answer: For arbitrary numbers 2092, 6181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.