Highest Common Factor of 8894, 1842 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 8894, 1842 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8894, 1842 is 2 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 8894, 1842 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 8894, 1842 is 2.
HCF(8894, 1842) = 2
HCF of 8894, 1842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8894, 1842 is 2.
Highest Common Factor of 8894,1842 is 2
Step 1: Since 8894 > 1842, we apply the division lemma to 8894 and 1842, to get
8894 = 1842 x 4 + 1526
Step 2: Since the reminder 1842 ≠ 0, we apply division lemma to 1526 and 1842, to get
1842 = 1526 x 1 + 316
Step 3: We consider the new divisor 1526 and the new remainder 316, and apply the division lemma to get
1526 = 316 x 4 + 262
We consider the new divisor 316 and the new remainder 262,and apply the division lemma to get
316 = 262 x 1 + 54
We consider the new divisor 262 and the new remainder 54,and apply the division lemma to get
262 = 54 x 4 + 46
We consider the new divisor 54 and the new remainder 46,and apply the division lemma to get
54 = 46 x 1 + 8
We consider the new divisor 46 and the new remainder 8,and apply the division lemma to get
46 = 8 x 5 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8894 and 1842 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(54,46) = HCF(262,54) = HCF(316,262) = HCF(1526,316) = HCF(1842,1526) = HCF(8894,1842) .
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Frequently Asked Questions on HCF of 8894, 1842 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 8894, 1842?
Answer: HCF of 8894, 1842 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8894, 1842 using Euclid's Algorithm?
Answer: For arbitrary numbers 8894, 1842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.