Highest Common Factor of 623, 1580 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 623, 1580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 1580 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 623, 1580 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 623, 1580 is 1.
HCF(623, 1580) = 1
HCF of 623, 1580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 1580 is 1.
Highest Common Factor of 623,1580 is 1
Step 1: Since 1580 > 623, we apply the division lemma to 1580 and 623, to get
1580 = 623 x 2 + 334
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 334 and 623, to get
623 = 334 x 1 + 289
Step 3: We consider the new divisor 334 and the new remainder 289, and apply the division lemma to get
334 = 289 x 1 + 45
We consider the new divisor 289 and the new remainder 45,and apply the division lemma to get
289 = 45 x 6 + 19
We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get
45 = 19 x 2 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 623 and 1580 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(289,45) = HCF(334,289) = HCF(623,334) = HCF(1580,623) .
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Frequently Asked Questions on HCF of 623, 1580 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 623, 1580?
Answer: HCF of 623, 1580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 1580 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 1580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.