Highest Common Factor of 5210, 9133 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 5210, 9133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5210, 9133 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 5210, 9133 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 5210, 9133 is 1.
HCF(5210, 9133) = 1
HCF of 5210, 9133 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5210, 9133 is 1.
Highest Common Factor of 5210,9133 is 1
Step 1: Since 9133 > 5210, we apply the division lemma to 9133 and 5210, to get
9133 = 5210 x 1 + 3923
Step 2: Since the reminder 5210 ≠ 0, we apply division lemma to 3923 and 5210, to get
5210 = 3923 x 1 + 1287
Step 3: We consider the new divisor 3923 and the new remainder 1287, and apply the division lemma to get
3923 = 1287 x 3 + 62
We consider the new divisor 1287 and the new remainder 62,and apply the division lemma to get
1287 = 62 x 20 + 47
We consider the new divisor 62 and the new remainder 47,and apply the division lemma to get
62 = 47 x 1 + 15
We consider the new divisor 47 and the new remainder 15,and apply the division lemma to get
47 = 15 x 3 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5210 and 9133 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(47,15) = HCF(62,47) = HCF(1287,62) = HCF(3923,1287) = HCF(5210,3923) = HCF(9133,5210) .
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Frequently Asked Questions on HCF of 5210, 9133 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 5210, 9133?
Answer: HCF of 5210, 9133 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5210, 9133 using Euclid's Algorithm?
Answer: For arbitrary numbers 5210, 9133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.