Highest Common Factor of 9518, 2059 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 9518, 2059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9518, 2059 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 9518, 2059 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 9518, 2059 is 1.
HCF(9518, 2059) = 1
HCF of 9518, 2059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9518, 2059 is 1.
Highest Common Factor of 9518,2059 is 1
Step 1: Since 9518 > 2059, we apply the division lemma to 9518 and 2059, to get
9518 = 2059 x 4 + 1282
Step 2: Since the reminder 2059 ≠ 0, we apply division lemma to 1282 and 2059, to get
2059 = 1282 x 1 + 777
Step 3: We consider the new divisor 1282 and the new remainder 777, and apply the division lemma to get
1282 = 777 x 1 + 505
We consider the new divisor 777 and the new remainder 505,and apply the division lemma to get
777 = 505 x 1 + 272
We consider the new divisor 505 and the new remainder 272,and apply the division lemma to get
505 = 272 x 1 + 233
We consider the new divisor 272 and the new remainder 233,and apply the division lemma to get
272 = 233 x 1 + 39
We consider the new divisor 233 and the new remainder 39,and apply the division lemma to get
233 = 39 x 5 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9518 and 2059 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(233,39) = HCF(272,233) = HCF(505,272) = HCF(777,505) = HCF(1282,777) = HCF(2059,1282) = HCF(9518,2059) .
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Frequently Asked Questions on HCF of 9518, 2059 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 9518, 2059?
Answer: HCF of 9518, 2059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9518, 2059 using Euclid's Algorithm?
Answer: For arbitrary numbers 9518, 2059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.