Highest Common Factor of 5041, 2999 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 5041, 2999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5041, 2999 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 5041, 2999 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 5041, 2999 is 1.
HCF(5041, 2999) = 1
HCF of 5041, 2999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5041, 2999 is 1.
Highest Common Factor of 5041,2999 is 1
Step 1: Since 5041 > 2999, we apply the division lemma to 5041 and 2999, to get
5041 = 2999 x 1 + 2042
Step 2: Since the reminder 2999 ≠ 0, we apply division lemma to 2042 and 2999, to get
2999 = 2042 x 1 + 957
Step 3: We consider the new divisor 2042 and the new remainder 957, and apply the division lemma to get
2042 = 957 x 2 + 128
We consider the new divisor 957 and the new remainder 128,and apply the division lemma to get
957 = 128 x 7 + 61
We consider the new divisor 128 and the new remainder 61,and apply the division lemma to get
128 = 61 x 2 + 6
We consider the new divisor 61 and the new remainder 6,and apply the division lemma to get
61 = 6 x 10 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5041 and 2999 is 1
Notice that 1 = HCF(6,1) = HCF(61,6) = HCF(128,61) = HCF(957,128) = HCF(2042,957) = HCF(2999,2042) = HCF(5041,2999) .
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Frequently Asked Questions on HCF of 5041, 2999 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 5041, 2999?
Answer: HCF of 5041, 2999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5041, 2999 using Euclid's Algorithm?
Answer: For arbitrary numbers 5041, 2999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.