Highest Common Factor of 1043, 2195 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 1043, 2195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1043, 2195 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 1043, 2195 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 1043, 2195 is 1.
HCF(1043, 2195) = 1
HCF of 1043, 2195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1043, 2195 is 1.
Highest Common Factor of 1043,2195 is 1
Step 1: Since 2195 > 1043, we apply the division lemma to 2195 and 1043, to get
2195 = 1043 x 2 + 109
Step 2: Since the reminder 1043 ≠ 0, we apply division lemma to 109 and 1043, to get
1043 = 109 x 9 + 62
Step 3: We consider the new divisor 109 and the new remainder 62, and apply the division lemma to get
109 = 62 x 1 + 47
We consider the new divisor 62 and the new remainder 47,and apply the division lemma to get
62 = 47 x 1 + 15
We consider the new divisor 47 and the new remainder 15,and apply the division lemma to get
47 = 15 x 3 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 1043 and 2195 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(47,15) = HCF(62,47) = HCF(109,62) = HCF(1043,109) = HCF(2195,1043) .
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Frequently Asked Questions on HCF of 1043, 2195 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 1043, 2195?
Answer: HCF of 1043, 2195 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1043, 2195 using Euclid's Algorithm?
Answer: For arbitrary numbers 1043, 2195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.