Highest Common Factor of 737, 5717 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 737, 5717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 737, 5717 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 737, 5717 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 737, 5717 is 1.
HCF(737, 5717) = 1
HCF of 737, 5717 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 737, 5717 is 1.
Highest Common Factor of 737,5717 is 1
Step 1: Since 5717 > 737, we apply the division lemma to 5717 and 737, to get
5717 = 737 x 7 + 558
Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 558 and 737, to get
737 = 558 x 1 + 179
Step 3: We consider the new divisor 558 and the new remainder 179, and apply the division lemma to get
558 = 179 x 3 + 21
We consider the new divisor 179 and the new remainder 21,and apply the division lemma to get
179 = 21 x 8 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 737 and 5717 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(179,21) = HCF(558,179) = HCF(737,558) = HCF(5717,737) .
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Frequently Asked Questions on HCF of 737, 5717 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 737, 5717?
Answer: HCF of 737, 5717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 737, 5717 using Euclid's Algorithm?
Answer: For arbitrary numbers 737, 5717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.