Highest Common Factor of 5293, 1887 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 5293, 1887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5293, 1887 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 5293, 1887 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 5293, 1887 is 1.
HCF(5293, 1887) = 1
HCF of 5293, 1887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5293, 1887 is 1.
Highest Common Factor of 5293,1887 is 1
Step 1: Since 5293 > 1887, we apply the division lemma to 5293 and 1887, to get
5293 = 1887 x 2 + 1519
Step 2: Since the reminder 1887 ≠ 0, we apply division lemma to 1519 and 1887, to get
1887 = 1519 x 1 + 368
Step 3: We consider the new divisor 1519 and the new remainder 368, and apply the division lemma to get
1519 = 368 x 4 + 47
We consider the new divisor 368 and the new remainder 47,and apply the division lemma to get
368 = 47 x 7 + 39
We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get
47 = 39 x 1 + 8
We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get
39 = 8 x 4 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5293 and 1887 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(368,47) = HCF(1519,368) = HCF(1887,1519) = HCF(5293,1887) .
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Frequently Asked Questions on HCF of 5293, 1887 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 5293, 1887?
Answer: HCF of 5293, 1887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5293, 1887 using Euclid's Algorithm?
Answer: For arbitrary numbers 5293, 1887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.