Highest Common Factor of 1901, 8819 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 1901, 8819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1901, 8819 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 1901, 8819 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 1901, 8819 is 1.
HCF(1901, 8819) = 1
HCF of 1901, 8819 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1901, 8819 is 1.
Highest Common Factor of 1901,8819 is 1
Step 1: Since 8819 > 1901, we apply the division lemma to 8819 and 1901, to get
8819 = 1901 x 4 + 1215
Step 2: Since the reminder 1901 ≠ 0, we apply division lemma to 1215 and 1901, to get
1901 = 1215 x 1 + 686
Step 3: We consider the new divisor 1215 and the new remainder 686, and apply the division lemma to get
1215 = 686 x 1 + 529
We consider the new divisor 686 and the new remainder 529,and apply the division lemma to get
686 = 529 x 1 + 157
We consider the new divisor 529 and the new remainder 157,and apply the division lemma to get
529 = 157 x 3 + 58
We consider the new divisor 157 and the new remainder 58,and apply the division lemma to get
157 = 58 x 2 + 41
We consider the new divisor 58 and the new remainder 41,and apply the division lemma to get
58 = 41 x 1 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 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 1901 and 8819 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(58,41) = HCF(157,58) = HCF(529,157) = HCF(686,529) = HCF(1215,686) = HCF(1901,1215) = HCF(8819,1901) .
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Frequently Asked Questions on HCF of 1901, 8819 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 1901, 8819?
Answer: HCF of 1901, 8819 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1901, 8819 using Euclid's Algorithm?
Answer: For arbitrary numbers 1901, 8819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.