Highest Common Factor of 8894, 692 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, 692 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8894, 692 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, 692 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, 692 is 2.
HCF(8894, 692) = 2
HCF of 8894, 692 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, 692 is 2.
Highest Common Factor of 8894,692 is 2
Step 1: Since 8894 > 692, we apply the division lemma to 8894 and 692, to get
8894 = 692 x 12 + 590
Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 590 and 692, to get
692 = 590 x 1 + 102
Step 3: We consider the new divisor 590 and the new remainder 102, and apply the division lemma to get
590 = 102 x 5 + 80
We consider the new divisor 102 and the new remainder 80,and apply the division lemma to get
102 = 80 x 1 + 22
We consider the new divisor 80 and the new remainder 22,and apply the division lemma to get
80 = 22 x 3 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 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 692 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(80,22) = HCF(102,80) = HCF(590,102) = HCF(692,590) = HCF(8894,692) .
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Frequently Asked Questions on HCF of 8894, 692 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, 692?
Answer: HCF of 8894, 692 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8894, 692 using Euclid's Algorithm?
Answer: For arbitrary numbers 8894, 692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
