Highest Common Factor of 5298, 8913 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 5298, 8913 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5298, 8913 is 3 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 5298, 8913 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 5298, 8913 is 3.
HCF(5298, 8913) = 3
HCF of 5298, 8913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5298, 8913 is 3.
Highest Common Factor of 5298,8913 is 3
Step 1: Since 8913 > 5298, we apply the division lemma to 8913 and 5298, to get
8913 = 5298 x 1 + 3615
Step 2: Since the reminder 5298 ≠ 0, we apply division lemma to 3615 and 5298, to get
5298 = 3615 x 1 + 1683
Step 3: We consider the new divisor 3615 and the new remainder 1683, and apply the division lemma to get
3615 = 1683 x 2 + 249
We consider the new divisor 1683 and the new remainder 249,and apply the division lemma to get
1683 = 249 x 6 + 189
We consider the new divisor 249 and the new remainder 189,and apply the division lemma to get
249 = 189 x 1 + 60
We consider the new divisor 189 and the new remainder 60,and apply the division lemma to get
189 = 60 x 3 + 9
We consider the new divisor 60 and the new remainder 9,and apply the division lemma to get
60 = 9 x 6 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5298 and 8913 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(60,9) = HCF(189,60) = HCF(249,189) = HCF(1683,249) = HCF(3615,1683) = HCF(5298,3615) = HCF(8913,5298) .
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Frequently Asked Questions on HCF of 5298, 8913 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 5298, 8913?
Answer: HCF of 5298, 8913 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5298, 8913 using Euclid's Algorithm?
Answer: For arbitrary numbers 5298, 8913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.