Highest Common Factor of 9098, 559 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 9098, 559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9098, 559 is 1 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 9098, 559 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 9098, 559 is 1.
HCF(9098, 559) = 1
HCF of 9098, 559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9098, 559 is 1.
Highest Common Factor of 9098,559 is 1
Step 1: Since 9098 > 559, we apply the division lemma to 9098 and 559, to get
9098 = 559 x 16 + 154
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 154 and 559, to get
559 = 154 x 3 + 97
Step 3: We consider the new divisor 154 and the new remainder 97, and apply the division lemma to get
154 = 97 x 1 + 57
We consider the new divisor 97 and the new remainder 57,and apply the division lemma to get
97 = 57 x 1 + 40
We consider the new divisor 57 and the new remainder 40,and apply the division lemma to get
57 = 40 x 1 + 17
We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get
40 = 17 x 2 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9098 and 559 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(57,40) = HCF(97,57) = HCF(154,97) = HCF(559,154) = HCF(9098,559) .
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Frequently Asked Questions on HCF of 9098, 559 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 9098, 559?
Answer: HCF of 9098, 559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9098, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 9098, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.