Highest Common Factor of 671, 2003 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 671, 2003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 671, 2003 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 671, 2003 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 671, 2003 is 1.
HCF(671, 2003) = 1
HCF of 671, 2003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 671, 2003 is 1.
Highest Common Factor of 671,2003 is 1
Step 1: Since 2003 > 671, we apply the division lemma to 2003 and 671, to get
2003 = 671 x 2 + 661
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 661 and 671, to get
671 = 661 x 1 + 10
Step 3: We consider the new divisor 661 and the new remainder 10, and apply the division lemma to get
661 = 10 x 66 + 1
We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 671 and 2003 is 1
Notice that 1 = HCF(10,1) = HCF(661,10) = HCF(671,661) = HCF(2003,671) .
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Frequently Asked Questions on HCF of 671, 2003 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 671, 2003?
Answer: HCF of 671, 2003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 671, 2003 using Euclid's Algorithm?
Answer: For arbitrary numbers 671, 2003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.