Highest Common Factor of 8851, 2143 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 8851, 2143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8851, 2143 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 8851, 2143 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 8851, 2143 is 1.
HCF(8851, 2143) = 1
HCF of 8851, 2143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8851, 2143 is 1.
Highest Common Factor of 8851,2143 is 1
Step 1: Since 8851 > 2143, we apply the division lemma to 8851 and 2143, to get
8851 = 2143 x 4 + 279
Step 2: Since the reminder 2143 ≠ 0, we apply division lemma to 279 and 2143, to get
2143 = 279 x 7 + 190
Step 3: We consider the new divisor 279 and the new remainder 190, and apply the division lemma to get
279 = 190 x 1 + 89
We consider the new divisor 190 and the new remainder 89,and apply the division lemma to get
190 = 89 x 2 + 12
We consider the new divisor 89 and the new remainder 12,and apply the division lemma to get
89 = 12 x 7 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8851 and 2143 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(89,12) = HCF(190,89) = HCF(279,190) = HCF(2143,279) = HCF(8851,2143) .
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Frequently Asked Questions on HCF of 8851, 2143 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 8851, 2143?
Answer: HCF of 8851, 2143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8851, 2143 using Euclid's Algorithm?
Answer: For arbitrary numbers 8851, 2143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.