Highest Common Factor of 553, 6073, 3535 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 553, 6073, 3535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 6073, 3535 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 553, 6073, 3535 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 553, 6073, 3535 is 1.
HCF(553, 6073, 3535) = 1
HCF of 553, 6073, 3535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 6073, 3535 is 1.
Highest Common Factor of 553,6073,3535 is 1
Step 1: Since 6073 > 553, we apply the division lemma to 6073 and 553, to get
6073 = 553 x 10 + 543
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 543 and 553, to get
553 = 543 x 1 + 10
Step 3: We consider the new divisor 543 and the new remainder 10, and apply the division lemma to get
543 = 10 x 54 + 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 553 and 6073 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(543,10) = HCF(553,543) = HCF(6073,553) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3535 > 1, we apply the division lemma to 3535 and 1, to get
3535 = 1 x 3535 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3535 is 1
Notice that 1 = HCF(3535,1) .
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Frequently Asked Questions on HCF of 553, 6073, 3535 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 553, 6073, 3535?
Answer: HCF of 553, 6073, 3535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 6073, 3535 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 6073, 3535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.