Highest Common Factor of 698, 519 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 698, 519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 698, 519 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 698, 519 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 698, 519 is 1.
HCF(698, 519) = 1
HCF of 698, 519 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 698, 519 is 1.
Highest Common Factor of 698,519 is 1
Step 1: Since 698 > 519, we apply the division lemma to 698 and 519, to get
698 = 519 x 1 + 179
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 179 and 519, to get
519 = 179 x 2 + 161
Step 3: We consider the new divisor 179 and the new remainder 161, and apply the division lemma to get
179 = 161 x 1 + 18
We consider the new divisor 161 and the new remainder 18,and apply the division lemma to get
161 = 18 x 8 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 698 and 519 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(161,18) = HCF(179,161) = HCF(519,179) = HCF(698,519) .
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Frequently Asked Questions on HCF of 698, 519 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 698, 519?
Answer: HCF of 698, 519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 698, 519 using Euclid's Algorithm?
Answer: For arbitrary numbers 698, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
