Highest Common Factor of 973, 643 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 973, 643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 643 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 973, 643 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 973, 643 is 1.
HCF(973, 643) = 1
HCF of 973, 643 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 643 is 1.
Highest Common Factor of 973,643 is 1
Step 1: Since 973 > 643, we apply the division lemma to 973 and 643, to get
973 = 643 x 1 + 330
Step 2: Since the reminder 643 ≠ 0, we apply division lemma to 330 and 643, to get
643 = 330 x 1 + 313
Step 3: We consider the new divisor 330 and the new remainder 313, and apply the division lemma to get
330 = 313 x 1 + 17
We consider the new divisor 313 and the new remainder 17,and apply the division lemma to get
313 = 17 x 18 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 973 and 643 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(313,17) = HCF(330,313) = HCF(643,330) = HCF(973,643) .
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Frequently Asked Questions on HCF of 973, 643 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 973, 643?
Answer: HCF of 973, 643 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 643 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
