Highest Common Factor of 1737, 5413 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 1737, 5413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1737, 5413 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 1737, 5413 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 1737, 5413 is 1.
HCF(1737, 5413) = 1
HCF of 1737, 5413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1737, 5413 is 1.
Highest Common Factor of 1737,5413 is 1
Step 1: Since 5413 > 1737, we apply the division lemma to 5413 and 1737, to get
5413 = 1737 x 3 + 202
Step 2: Since the reminder 1737 ≠ 0, we apply division lemma to 202 and 1737, to get
1737 = 202 x 8 + 121
Step 3: We consider the new divisor 202 and the new remainder 121, and apply the division lemma to get
202 = 121 x 1 + 81
We consider the new divisor 121 and the new remainder 81,and apply the division lemma to get
121 = 81 x 1 + 40
We consider the new divisor 81 and the new remainder 40,and apply the division lemma to get
81 = 40 x 2 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1737 and 5413 is 1
Notice that 1 = HCF(40,1) = HCF(81,40) = HCF(121,81) = HCF(202,121) = HCF(1737,202) = HCF(5413,1737) .
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Frequently Asked Questions on HCF of 1737, 5413 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 1737, 5413?
Answer: HCF of 1737, 5413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1737, 5413 using Euclid's Algorithm?
Answer: For arbitrary numbers 1737, 5413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.