Highest Common Factor of 1873, 2867 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 1873, 2867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1873, 2867 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 1873, 2867 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 1873, 2867 is 1.
HCF(1873, 2867) = 1
HCF of 1873, 2867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1873, 2867 is 1.
Highest Common Factor of 1873,2867 is 1
Step 1: Since 2867 > 1873, we apply the division lemma to 2867 and 1873, to get
2867 = 1873 x 1 + 994
Step 2: Since the reminder 1873 ≠ 0, we apply division lemma to 994 and 1873, to get
1873 = 994 x 1 + 879
Step 3: We consider the new divisor 994 and the new remainder 879, and apply the division lemma to get
994 = 879 x 1 + 115
We consider the new divisor 879 and the new remainder 115,and apply the division lemma to get
879 = 115 x 7 + 74
We consider the new divisor 115 and the new remainder 74,and apply the division lemma to get
115 = 74 x 1 + 41
We consider the new divisor 74 and the new remainder 41,and apply the division lemma to get
74 = 41 x 1 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1873 and 2867 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(74,41) = HCF(115,74) = HCF(879,115) = HCF(994,879) = HCF(1873,994) = HCF(2867,1873) .
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Frequently Asked Questions on HCF of 1873, 2867 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 1873, 2867?
Answer: HCF of 1873, 2867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1873, 2867 using Euclid's Algorithm?
Answer: For arbitrary numbers 1873, 2867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.