Highest Common Factor of 1030, 5123 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 1030, 5123 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1030, 5123 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 1030, 5123 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 1030, 5123 is 1.
HCF(1030, 5123) = 1
HCF of 1030, 5123 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1030, 5123 is 1.
Highest Common Factor of 1030,5123 is 1
Step 1: Since 5123 > 1030, we apply the division lemma to 5123 and 1030, to get
5123 = 1030 x 4 + 1003
Step 2: Since the reminder 1030 ≠ 0, we apply division lemma to 1003 and 1030, to get
1030 = 1003 x 1 + 27
Step 3: We consider the new divisor 1003 and the new remainder 27, and apply the division lemma to get
1003 = 27 x 37 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1030 and 5123 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(1003,27) = HCF(1030,1003) = HCF(5123,1030) .
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Frequently Asked Questions on HCF of 1030, 5123 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 1030, 5123?
Answer: HCF of 1030, 5123 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1030, 5123 using Euclid's Algorithm?
Answer: For arbitrary numbers 1030, 5123 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.