Highest Common Factor of 583, 354 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 583, 354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 354 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 583, 354 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 583, 354 is 1.
HCF(583, 354) = 1
HCF of 583, 354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 354 is 1.
Highest Common Factor of 583,354 is 1
Step 1: Since 583 > 354, we apply the division lemma to 583 and 354, to get
583 = 354 x 1 + 229
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 229 and 354, to get
354 = 229 x 1 + 125
Step 3: We consider the new divisor 229 and the new remainder 125, and apply the division lemma to get
229 = 125 x 1 + 104
We consider the new divisor 125 and the new remainder 104,and apply the division lemma to get
125 = 104 x 1 + 21
We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get
104 = 21 x 4 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 583 and 354 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(125,104) = HCF(229,125) = HCF(354,229) = HCF(583,354) .
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Frequently Asked Questions on HCF of 583, 354 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 583, 354?
Answer: HCF of 583, 354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 354 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.