Highest Common Factor of 983, 513 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 983, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 513 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 983, 513 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 983, 513 is 1.
HCF(983, 513) = 1
HCF of 983, 513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 513 is 1.
Highest Common Factor of 983,513 is 1
Step 1: Since 983 > 513, we apply the division lemma to 983 and 513, to get
983 = 513 x 1 + 470
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 470 and 513, to get
513 = 470 x 1 + 43
Step 3: We consider the new divisor 470 and the new remainder 43, and apply the division lemma to get
470 = 43 x 10 + 40
We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get
43 = 40 x 1 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 983 and 513 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(470,43) = HCF(513,470) = HCF(983,513) .
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Frequently Asked Questions on HCF of 983, 513 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 983, 513?
Answer: HCF of 983, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.