Highest Common Factor of 898, 4694 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 898, 4694 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 898, 4694 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 898, 4694 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 898, 4694 is 2.
HCF(898, 4694) = 2
HCF of 898, 4694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 898, 4694 is 2.
Highest Common Factor of 898,4694 is 2
Step 1: Since 4694 > 898, we apply the division lemma to 4694 and 898, to get
4694 = 898 x 5 + 204
Step 2: Since the reminder 898 ≠ 0, we apply division lemma to 204 and 898, to get
898 = 204 x 4 + 82
Step 3: We consider the new divisor 204 and the new remainder 82, and apply the division lemma to get
204 = 82 x 2 + 40
We consider the new divisor 82 and the new remainder 40,and apply the division lemma to get
82 = 40 x 2 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 898 and 4694 is 2
Notice that 2 = HCF(40,2) = HCF(82,40) = HCF(204,82) = HCF(898,204) = HCF(4694,898) .
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Frequently Asked Questions on HCF of 898, 4694 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 898, 4694?
Answer: HCF of 898, 4694 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 898, 4694 using Euclid's Algorithm?
Answer: For arbitrary numbers 898, 4694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.