Highest Common Factor of 894, 84382 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 894, 84382 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 894, 84382 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 894, 84382 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 894, 84382 is 2.
HCF(894, 84382) = 2
HCF of 894, 84382 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 894, 84382 is 2.
Highest Common Factor of 894,84382 is 2
Step 1: Since 84382 > 894, we apply the division lemma to 84382 and 894, to get
84382 = 894 x 94 + 346
Step 2: Since the reminder 894 ≠ 0, we apply division lemma to 346 and 894, to get
894 = 346 x 2 + 202
Step 3: We consider the new divisor 346 and the new remainder 202, and apply the division lemma to get
346 = 202 x 1 + 144
We consider the new divisor 202 and the new remainder 144,and apply the division lemma to get
202 = 144 x 1 + 58
We consider the new divisor 144 and the new remainder 58,and apply the division lemma to get
144 = 58 x 2 + 28
We consider the new divisor 58 and the new remainder 28,and apply the division lemma to get
58 = 28 x 2 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 894 and 84382 is 2
Notice that 2 = HCF(28,2) = HCF(58,28) = HCF(144,58) = HCF(202,144) = HCF(346,202) = HCF(894,346) = HCF(84382,894) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 894, 84382 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 894, 84382?
Answer: HCF of 894, 84382 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 894, 84382 using Euclid's Algorithm?
Answer: For arbitrary numbers 894, 84382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
