Highest Common Factor of 513, 9198 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 513, 9198 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 513, 9198 is 9 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 513, 9198 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 513, 9198 is 9.
HCF(513, 9198) = 9
HCF of 513, 9198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 513, 9198 is 9.
Highest Common Factor of 513,9198 is 9
Step 1: Since 9198 > 513, we apply the division lemma to 9198 and 513, to get
9198 = 513 x 17 + 477
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 477 and 513, to get
513 = 477 x 1 + 36
Step 3: We consider the new divisor 477 and the new remainder 36, and apply the division lemma to get
477 = 36 x 13 + 9
We consider the new divisor 36 and the new remainder 9, and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 513 and 9198 is 9
Notice that 9 = HCF(36,9) = HCF(477,36) = HCF(513,477) = HCF(9198,513) .
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Frequently Asked Questions on HCF of 513, 9198 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 513, 9198?
Answer: HCF of 513, 9198 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 513, 9198 using Euclid's Algorithm?
Answer: For arbitrary numbers 513, 9198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.