Highest Common Factor of 5059, 1799 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 5059, 1799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5059, 1799 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 5059, 1799 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 5059, 1799 is 1.
HCF(5059, 1799) = 1
HCF of 5059, 1799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5059, 1799 is 1.
Highest Common Factor of 5059,1799 is 1
Step 1: Since 5059 > 1799, we apply the division lemma to 5059 and 1799, to get
5059 = 1799 x 2 + 1461
Step 2: Since the reminder 1799 ≠ 0, we apply division lemma to 1461 and 1799, to get
1799 = 1461 x 1 + 338
Step 3: We consider the new divisor 1461 and the new remainder 338, and apply the division lemma to get
1461 = 338 x 4 + 109
We consider the new divisor 338 and the new remainder 109,and apply the division lemma to get
338 = 109 x 3 + 11
We consider the new divisor 109 and the new remainder 11,and apply the division lemma to get
109 = 11 x 9 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5059 and 1799 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(109,11) = HCF(338,109) = HCF(1461,338) = HCF(1799,1461) = HCF(5059,1799) .
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Frequently Asked Questions on HCF of 5059, 1799 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 5059, 1799?
Answer: HCF of 5059, 1799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5059, 1799 using Euclid's Algorithm?
Answer: For arbitrary numbers 5059, 1799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.