Highest Common Factor of 1983, 7231 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 1983, 7231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1983, 7231 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 1983, 7231 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 1983, 7231 is 1.
HCF(1983, 7231) = 1
HCF of 1983, 7231 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1983, 7231 is 1.
Highest Common Factor of 1983,7231 is 1
Step 1: Since 7231 > 1983, we apply the division lemma to 7231 and 1983, to get
7231 = 1983 x 3 + 1282
Step 2: Since the reminder 1983 ≠ 0, we apply division lemma to 1282 and 1983, to get
1983 = 1282 x 1 + 701
Step 3: We consider the new divisor 1282 and the new remainder 701, and apply the division lemma to get
1282 = 701 x 1 + 581
We consider the new divisor 701 and the new remainder 581,and apply the division lemma to get
701 = 581 x 1 + 120
We consider the new divisor 581 and the new remainder 120,and apply the division lemma to get
581 = 120 x 4 + 101
We consider the new divisor 120 and the new remainder 101,and apply the division lemma to get
120 = 101 x 1 + 19
We consider the new divisor 101 and the new remainder 19,and apply the division lemma to get
101 = 19 x 5 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1983 and 7231 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(101,19) = HCF(120,101) = HCF(581,120) = HCF(701,581) = HCF(1282,701) = HCF(1983,1282) = HCF(7231,1983) .
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Frequently Asked Questions on HCF of 1983, 7231 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 1983, 7231?
Answer: HCF of 1983, 7231 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1983, 7231 using Euclid's Algorithm?
Answer: For arbitrary numbers 1983, 7231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.