Highest Common Factor of 283, 509, 655, 57 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 283, 509, 655, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 283, 509, 655, 57 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 283, 509, 655, 57 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 283, 509, 655, 57 is 1.
HCF(283, 509, 655, 57) = 1
HCF of 283, 509, 655, 57 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 283, 509, 655, 57 is 1.
Highest Common Factor of 283,509,655,57 is 1
Step 1: Since 509 > 283, we apply the division lemma to 509 and 283, to get
509 = 283 x 1 + 226
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 226 and 283, to get
283 = 226 x 1 + 57
Step 3: We consider the new divisor 226 and the new remainder 57, and apply the division lemma to get
226 = 57 x 3 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 283 and 509 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(226,57) = HCF(283,226) = HCF(509,283) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 655 > 1, we apply the division lemma to 655 and 1, to get
655 = 1 x 655 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 655 is 1
Notice that 1 = HCF(655,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
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Frequently Asked Questions on HCF of 283, 509, 655, 57 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 283, 509, 655, 57?
Answer: HCF of 283, 509, 655, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 283, 509, 655, 57 using Euclid's Algorithm?
Answer: For arbitrary numbers 283, 509, 655, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.