Highest Common Factor of 3101, 2368 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 3101, 2368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3101, 2368 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 3101, 2368 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 3101, 2368 is 1.
HCF(3101, 2368) = 1
HCF of 3101, 2368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3101, 2368 is 1.
Highest Common Factor of 3101,2368 is 1
Step 1: Since 3101 > 2368, we apply the division lemma to 3101 and 2368, to get
3101 = 2368 x 1 + 733
Step 2: Since the reminder 2368 ≠ 0, we apply division lemma to 733 and 2368, to get
2368 = 733 x 3 + 169
Step 3: We consider the new divisor 733 and the new remainder 169, and apply the division lemma to get
733 = 169 x 4 + 57
We consider the new divisor 169 and the new remainder 57,and apply the division lemma to get
169 = 57 x 2 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 3101 and 2368 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(169,57) = HCF(733,169) = HCF(2368,733) = HCF(3101,2368) .
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Frequently Asked Questions on HCF of 3101, 2368 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 3101, 2368?
Answer: HCF of 3101, 2368 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3101, 2368 using Euclid's Algorithm?
Answer: For arbitrary numbers 3101, 2368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.