Highest Common Factor of 570, 1607 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 570, 1607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 1607 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 570, 1607 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 570, 1607 is 1.
HCF(570, 1607) = 1
HCF of 570, 1607 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 570, 1607 is 1.
Highest Common Factor of 570,1607 is 1
Step 1: Since 1607 > 570, we apply the division lemma to 1607 and 570, to get
1607 = 570 x 2 + 467
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 467 and 570, to get
570 = 467 x 1 + 103
Step 3: We consider the new divisor 467 and the new remainder 103, and apply the division lemma to get
467 = 103 x 4 + 55
We consider the new divisor 103 and the new remainder 55,and apply the division lemma to get
103 = 55 x 1 + 48
We consider the new divisor 55 and the new remainder 48,and apply the division lemma to get
55 = 48 x 1 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 570 and 1607 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(55,48) = HCF(103,55) = HCF(467,103) = HCF(570,467) = HCF(1607,570) .
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Frequently Asked Questions on HCF of 570, 1607 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 570, 1607?
Answer: HCF of 570, 1607 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 1607 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 1607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.