Highest Common Factor of 9598, 5335 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 9598, 5335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9598, 5335 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 9598, 5335 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 9598, 5335 is 1.
HCF(9598, 5335) = 1
HCF of 9598, 5335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9598, 5335 is 1.
Highest Common Factor of 9598,5335 is 1
Step 1: Since 9598 > 5335, we apply the division lemma to 9598 and 5335, to get
9598 = 5335 x 1 + 4263
Step 2: Since the reminder 5335 ≠ 0, we apply division lemma to 4263 and 5335, to get
5335 = 4263 x 1 + 1072
Step 3: We consider the new divisor 4263 and the new remainder 1072, and apply the division lemma to get
4263 = 1072 x 3 + 1047
We consider the new divisor 1072 and the new remainder 1047,and apply the division lemma to get
1072 = 1047 x 1 + 25
We consider the new divisor 1047 and the new remainder 25,and apply the division lemma to get
1047 = 25 x 41 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9598 and 5335 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(1047,25) = HCF(1072,1047) = HCF(4263,1072) = HCF(5335,4263) = HCF(9598,5335) .
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Frequently Asked Questions on HCF of 9598, 5335 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 9598, 5335?
Answer: HCF of 9598, 5335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9598, 5335 using Euclid's Algorithm?
Answer: For arbitrary numbers 9598, 5335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.