Highest Common Factor of 475, 589, 561, 39 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 475, 589, 561, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 589, 561, 39 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 475, 589, 561, 39 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 475, 589, 561, 39 is 1.
HCF(475, 589, 561, 39) = 1
HCF of 475, 589, 561, 39 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 589, 561, 39 is 1.
Highest Common Factor of 475,589,561,39 is 1
Step 1: Since 589 > 475, we apply the division lemma to 589 and 475, to get
589 = 475 x 1 + 114
Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 114 and 475, to get
475 = 114 x 4 + 19
Step 3: We consider the new divisor 114 and the new remainder 19, and apply the division lemma to get
114 = 19 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 475 and 589 is 19
Notice that 19 = HCF(114,19) = HCF(475,114) = HCF(589,475) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 561 > 19, we apply the division lemma to 561 and 19, to get
561 = 19 x 29 + 10
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 10 and 19, to get
19 = 10 x 1 + 9
Step 3: We consider the new divisor 10 and the new remainder 9, and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 561 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(561,19) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39 > 1, we apply the division lemma to 39 and 1, to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39 is 1
Notice that 1 = HCF(39,1) .
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Frequently Asked Questions on HCF of 475, 589, 561, 39 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 475, 589, 561, 39?
Answer: HCF of 475, 589, 561, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 589, 561, 39 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 589, 561, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.