Highest Common Factor of 570, 120, 604 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, 120, 604 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 120, 604 is 2 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, 120, 604 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, 120, 604 is 2.
HCF(570, 120, 604) = 2
HCF of 570, 120, 604 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, 120, 604 is 2.
Highest Common Factor of 570,120,604 is 2
Step 1: Since 570 > 120, we apply the division lemma to 570 and 120, to get
570 = 120 x 4 + 90
Step 2: Since the reminder 120 ≠ 0, we apply division lemma to 90 and 120, to get
120 = 90 x 1 + 30
Step 3: We consider the new divisor 90 and the new remainder 30, and apply the division lemma to get
90 = 30 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 570 and 120 is 30
Notice that 30 = HCF(90,30) = HCF(120,90) = HCF(570,120) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 604 > 30, we apply the division lemma to 604 and 30, to get
604 = 30 x 20 + 4
Step 2: Since the reminder 30 ≠ 0, we apply division lemma to 4 and 30, to get
30 = 4 x 7 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 30 and 604 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(604,30) .
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Frequently Asked Questions on HCF of 570, 120, 604 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, 120, 604?
Answer: HCF of 570, 120, 604 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 120, 604 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 120, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.