Highest Common Factor of 5194, 6533 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 5194, 6533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5194, 6533 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 5194, 6533 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 5194, 6533 is 1.
HCF(5194, 6533) = 1
HCF of 5194, 6533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5194, 6533 is 1.
Highest Common Factor of 5194,6533 is 1
Step 1: Since 6533 > 5194, we apply the division lemma to 6533 and 5194, to get
6533 = 5194 x 1 + 1339
Step 2: Since the reminder 5194 ≠ 0, we apply division lemma to 1339 and 5194, to get
5194 = 1339 x 3 + 1177
Step 3: We consider the new divisor 1339 and the new remainder 1177, and apply the division lemma to get
1339 = 1177 x 1 + 162
We consider the new divisor 1177 and the new remainder 162,and apply the division lemma to get
1177 = 162 x 7 + 43
We consider the new divisor 162 and the new remainder 43,and apply the division lemma to get
162 = 43 x 3 + 33
We consider the new divisor 43 and the new remainder 33,and apply the division lemma to get
43 = 33 x 1 + 10
We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get
33 = 10 x 3 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5194 and 6533 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(43,33) = HCF(162,43) = HCF(1177,162) = HCF(1339,1177) = HCF(5194,1339) = HCF(6533,5194) .
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Frequently Asked Questions on HCF of 5194, 6533 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 5194, 6533?
Answer: HCF of 5194, 6533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5194, 6533 using Euclid's Algorithm?
Answer: For arbitrary numbers 5194, 6533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.