Highest Common Factor of 563, 485, 33, 235 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 563, 485, 33, 235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 485, 33, 235 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 563, 485, 33, 235 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 563, 485, 33, 235 is 1.
HCF(563, 485, 33, 235) = 1
HCF of 563, 485, 33, 235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 563, 485, 33, 235 is 1.
Highest Common Factor of 563,485,33,235 is 1
Step 1: Since 563 > 485, we apply the division lemma to 563 and 485, to get
563 = 485 x 1 + 78
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 78 and 485, to get
485 = 78 x 6 + 17
Step 3: We consider the new divisor 78 and the new remainder 17, and apply the division lemma to get
78 = 17 x 4 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 563 and 485 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(78,17) = HCF(485,78) = HCF(563,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 1, we apply the division lemma to 33 and 1, to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33 is 1
Notice that 1 = HCF(33,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 235 > 1, we apply the division lemma to 235 and 1, to get
235 = 1 x 235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 235 is 1
Notice that 1 = HCF(235,1) .
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Frequently Asked Questions on HCF of 563, 485, 33, 235 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 563, 485, 33, 235?
Answer: HCF of 563, 485, 33, 235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 485, 33, 235 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 485, 33, 235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.