Highest Common Factor of 3814, 5537 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 3814, 5537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3814, 5537 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 3814, 5537 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 3814, 5537 is 1.
HCF(3814, 5537) = 1
HCF of 3814, 5537 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3814, 5537 is 1.
Highest Common Factor of 3814,5537 is 1
Step 1: Since 5537 > 3814, we apply the division lemma to 5537 and 3814, to get
5537 = 3814 x 1 + 1723
Step 2: Since the reminder 3814 ≠ 0, we apply division lemma to 1723 and 3814, to get
3814 = 1723 x 2 + 368
Step 3: We consider the new divisor 1723 and the new remainder 368, and apply the division lemma to get
1723 = 368 x 4 + 251
We consider the new divisor 368 and the new remainder 251,and apply the division lemma to get
368 = 251 x 1 + 117
We consider the new divisor 251 and the new remainder 117,and apply the division lemma to get
251 = 117 x 2 + 17
We consider the new divisor 117 and the new remainder 17,and apply the division lemma to get
117 = 17 x 6 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 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 3814 and 5537 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(117,17) = HCF(251,117) = HCF(368,251) = HCF(1723,368) = HCF(3814,1723) = HCF(5537,3814) .
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Frequently Asked Questions on HCF of 3814, 5537 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 3814, 5537?
Answer: HCF of 3814, 5537 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3814, 5537 using Euclid's Algorithm?
Answer: For arbitrary numbers 3814, 5537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
