Highest Common Factor of 3721, 5342 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 3721, 5342 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3721, 5342 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 3721, 5342 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 3721, 5342 is 1.
HCF(3721, 5342) = 1
HCF of 3721, 5342 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3721, 5342 is 1.
Highest Common Factor of 3721,5342 is 1
Step 1: Since 5342 > 3721, we apply the division lemma to 5342 and 3721, to get
5342 = 3721 x 1 + 1621
Step 2: Since the reminder 3721 ≠ 0, we apply division lemma to 1621 and 3721, to get
3721 = 1621 x 2 + 479
Step 3: We consider the new divisor 1621 and the new remainder 479, and apply the division lemma to get
1621 = 479 x 3 + 184
We consider the new divisor 479 and the new remainder 184,and apply the division lemma to get
479 = 184 x 2 + 111
We consider the new divisor 184 and the new remainder 111,and apply the division lemma to get
184 = 111 x 1 + 73
We consider the new divisor 111 and the new remainder 73,and apply the division lemma to get
111 = 73 x 1 + 38
We consider the new divisor 73 and the new remainder 38,and apply the division lemma to get
73 = 38 x 1 + 35
We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get
38 = 35 x 1 + 3
We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get
35 = 3 x 11 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3721 and 5342 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(73,38) = HCF(111,73) = HCF(184,111) = HCF(479,184) = HCF(1621,479) = HCF(3721,1621) = HCF(5342,3721) .
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Frequently Asked Questions on HCF of 3721, 5342 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 3721, 5342?
Answer: HCF of 3721, 5342 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3721, 5342 using Euclid's Algorithm?
Answer: For arbitrary numbers 3721, 5342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
