Highest Common Factor of 3713, 1982 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 3713, 1982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3713, 1982 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 3713, 1982 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 3713, 1982 is 1.
HCF(3713, 1982) = 1
HCF of 3713, 1982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3713, 1982 is 1.
Highest Common Factor of 3713,1982 is 1
Step 1: Since 3713 > 1982, we apply the division lemma to 3713 and 1982, to get
3713 = 1982 x 1 + 1731
Step 2: Since the reminder 1982 ≠ 0, we apply division lemma to 1731 and 1982, to get
1982 = 1731 x 1 + 251
Step 3: We consider the new divisor 1731 and the new remainder 251, and apply the division lemma to get
1731 = 251 x 6 + 225
We consider the new divisor 251 and the new remainder 225,and apply the division lemma to get
251 = 225 x 1 + 26
We consider the new divisor 225 and the new remainder 26,and apply the division lemma to get
225 = 26 x 8 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3713 and 1982 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(225,26) = HCF(251,225) = HCF(1731,251) = HCF(1982,1731) = HCF(3713,1982) .
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Frequently Asked Questions on HCF of 3713, 1982 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 3713, 1982?
Answer: HCF of 3713, 1982 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3713, 1982 using Euclid's Algorithm?
Answer: For arbitrary numbers 3713, 1982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.