Highest Common Factor of 504, 361, 572 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 504, 361, 572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 504, 361, 572 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 504, 361, 572 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 504, 361, 572 is 1.
HCF(504, 361, 572) = 1
HCF of 504, 361, 572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 504, 361, 572 is 1.
Highest Common Factor of 504,361,572 is 1
Step 1: Since 504 > 361, we apply the division lemma to 504 and 361, to get
504 = 361 x 1 + 143
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 143 and 361, to get
361 = 143 x 2 + 75
Step 3: We consider the new divisor 143 and the new remainder 75, and apply the division lemma to get
143 = 75 x 1 + 68
We consider the new divisor 75 and the new remainder 68,and apply the division lemma to get
75 = 68 x 1 + 7
We consider the new divisor 68 and the new remainder 7,and apply the division lemma to get
68 = 7 x 9 + 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 504 and 361 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(68,7) = HCF(75,68) = HCF(143,75) = HCF(361,143) = HCF(504,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 572 > 1, we apply the division lemma to 572 and 1, to get
572 = 1 x 572 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 572 is 1
Notice that 1 = HCF(572,1) .
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Frequently Asked Questions on HCF of 504, 361, 572 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 504, 361, 572?
Answer: HCF of 504, 361, 572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 504, 361, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 504, 361, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
