Highest Common Factor of 1883, 6659 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 1883, 6659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1883, 6659 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 1883, 6659 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 1883, 6659 is 1.
HCF(1883, 6659) = 1
HCF of 1883, 6659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1883, 6659 is 1.
Highest Common Factor of 1883,6659 is 1
Step 1: Since 6659 > 1883, we apply the division lemma to 6659 and 1883, to get
6659 = 1883 x 3 + 1010
Step 2: Since the reminder 1883 ≠ 0, we apply division lemma to 1010 and 1883, to get
1883 = 1010 x 1 + 873
Step 3: We consider the new divisor 1010 and the new remainder 873, and apply the division lemma to get
1010 = 873 x 1 + 137
We consider the new divisor 873 and the new remainder 137,and apply the division lemma to get
873 = 137 x 6 + 51
We consider the new divisor 137 and the new remainder 51,and apply the division lemma to get
137 = 51 x 2 + 35
We consider the new divisor 51 and the new remainder 35,and apply the division lemma to get
51 = 35 x 1 + 16
We consider the new divisor 35 and the new remainder 16,and apply the division lemma to get
35 = 16 x 2 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 1883 and 6659 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(35,16) = HCF(51,35) = HCF(137,51) = HCF(873,137) = HCF(1010,873) = HCF(1883,1010) = HCF(6659,1883) .
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Frequently Asked Questions on HCF of 1883, 6659 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 1883, 6659?
Answer: HCF of 1883, 6659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1883, 6659 using Euclid's Algorithm?
Answer: For arbitrary numbers 1883, 6659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.