Highest Common Factor of 2199, 4273 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 2199, 4273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2199, 4273 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 2199, 4273 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 2199, 4273 is 1.
HCF(2199, 4273) = 1
HCF of 2199, 4273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2199, 4273 is 1.
Highest Common Factor of 2199,4273 is 1
Step 1: Since 4273 > 2199, we apply the division lemma to 4273 and 2199, to get
4273 = 2199 x 1 + 2074
Step 2: Since the reminder 2199 ≠ 0, we apply division lemma to 2074 and 2199, to get
2199 = 2074 x 1 + 125
Step 3: We consider the new divisor 2074 and the new remainder 125, and apply the division lemma to get
2074 = 125 x 16 + 74
We consider the new divisor 125 and the new remainder 74,and apply the division lemma to get
125 = 74 x 1 + 51
We consider the new divisor 74 and the new remainder 51,and apply the division lemma to get
74 = 51 x 1 + 23
We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get
51 = 23 x 2 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 2199 and 4273 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(74,51) = HCF(125,74) = HCF(2074,125) = HCF(2199,2074) = HCF(4273,2199) .
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Frequently Asked Questions on HCF of 2199, 4273 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 2199, 4273?
Answer: HCF of 2199, 4273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2199, 4273 using Euclid's Algorithm?
Answer: For arbitrary numbers 2199, 4273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.