Highest Common Factor of 898, 9594 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, 9594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 898, 9594 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, 9594 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, 9594 is 2.
HCF(898, 9594) = 2
HCF of 898, 9594 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, 9594 is 2.
Highest Common Factor of 898,9594 is 2
Step 1: Since 9594 > 898, we apply the division lemma to 9594 and 898, to get
9594 = 898 x 10 + 614
Step 2: Since the reminder 898 ≠ 0, we apply division lemma to 614 and 898, to get
898 = 614 x 1 + 284
Step 3: We consider the new divisor 614 and the new remainder 284, and apply the division lemma to get
614 = 284 x 2 + 46
We consider the new divisor 284 and the new remainder 46,and apply the division lemma to get
284 = 46 x 6 + 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 898 and 9594 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(284,46) = HCF(614,284) = HCF(898,614) = HCF(9594,898) .
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Frequently Asked Questions on HCF of 898, 9594 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, 9594?
Answer: HCF of 898, 9594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 898, 9594 using Euclid's Algorithm?
Answer: For arbitrary numbers 898, 9594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
