Highest Common Factor of 5363, 3785 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 5363, 3785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5363, 3785 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 5363, 3785 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 5363, 3785 is 1.
HCF(5363, 3785) = 1
HCF of 5363, 3785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5363, 3785 is 1.
Highest Common Factor of 5363,3785 is 1
Step 1: Since 5363 > 3785, we apply the division lemma to 5363 and 3785, to get
5363 = 3785 x 1 + 1578
Step 2: Since the reminder 3785 ≠ 0, we apply division lemma to 1578 and 3785, to get
3785 = 1578 x 2 + 629
Step 3: We consider the new divisor 1578 and the new remainder 629, and apply the division lemma to get
1578 = 629 x 2 + 320
We consider the new divisor 629 and the new remainder 320,and apply the division lemma to get
629 = 320 x 1 + 309
We consider the new divisor 320 and the new remainder 309,and apply the division lemma to get
320 = 309 x 1 + 11
We consider the new divisor 309 and the new remainder 11,and apply the division lemma to get
309 = 11 x 28 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5363 and 3785 is 1
Notice that 1 = HCF(11,1) = HCF(309,11) = HCF(320,309) = HCF(629,320) = HCF(1578,629) = HCF(3785,1578) = HCF(5363,3785) .
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Frequently Asked Questions on HCF of 5363, 3785 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 5363, 3785?
Answer: HCF of 5363, 3785 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5363, 3785 using Euclid's Algorithm?
Answer: For arbitrary numbers 5363, 3785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.