Highest Common Factor of 5033, 5526, 38464 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 5033, 5526, 38464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5033, 5526, 38464 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 5033, 5526, 38464 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 5033, 5526, 38464 is 1.
HCF(5033, 5526, 38464) = 1
HCF of 5033, 5526, 38464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5033, 5526, 38464 is 1.
Highest Common Factor of 5033,5526,38464 is 1
Step 1: Since 5526 > 5033, we apply the division lemma to 5526 and 5033, to get
5526 = 5033 x 1 + 493
Step 2: Since the reminder 5033 ≠ 0, we apply division lemma to 493 and 5033, to get
5033 = 493 x 10 + 103
Step 3: We consider the new divisor 493 and the new remainder 103, and apply the division lemma to get
493 = 103 x 4 + 81
We consider the new divisor 103 and the new remainder 81,and apply the division lemma to get
103 = 81 x 1 + 22
We consider the new divisor 81 and the new remainder 22,and apply the division lemma to get
81 = 22 x 3 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5033 and 5526 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(81,22) = HCF(103,81) = HCF(493,103) = HCF(5033,493) = HCF(5526,5033) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38464 > 1, we apply the division lemma to 38464 and 1, to get
38464 = 1 x 38464 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38464 is 1
Notice that 1 = HCF(38464,1) .
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Frequently Asked Questions on HCF of 5033, 5526, 38464 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 5033, 5526, 38464?
Answer: HCF of 5033, 5526, 38464 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5033, 5526, 38464 using Euclid's Algorithm?
Answer: For arbitrary numbers 5033, 5526, 38464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.