Highest Common Factor of 415, 564, 205, 444 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 415, 564, 205, 444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 415, 564, 205, 444 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 415, 564, 205, 444 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 415, 564, 205, 444 is 1.
HCF(415, 564, 205, 444) = 1
HCF of 415, 564, 205, 444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 415, 564, 205, 444 is 1.
Highest Common Factor of 415,564,205,444 is 1
Step 1: Since 564 > 415, we apply the division lemma to 564 and 415, to get
564 = 415 x 1 + 149
Step 2: Since the reminder 415 ≠ 0, we apply division lemma to 149 and 415, to get
415 = 149 x 2 + 117
Step 3: We consider the new divisor 149 and the new remainder 117, and apply the division lemma to get
149 = 117 x 1 + 32
We consider the new divisor 117 and the new remainder 32,and apply the division lemma to get
117 = 32 x 3 + 21
We consider the new divisor 32 and the new remainder 21,and apply the division lemma to get
32 = 21 x 1 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 415 and 564 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(32,21) = HCF(117,32) = HCF(149,117) = HCF(415,149) = HCF(564,415) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 205 > 1, we apply the division lemma to 205 and 1, to get
205 = 1 x 205 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 205 is 1
Notice that 1 = HCF(205,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 444 > 1, we apply the division lemma to 444 and 1, to get
444 = 1 x 444 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 444 is 1
Notice that 1 = HCF(444,1) .
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Frequently Asked Questions on HCF of 415, 564, 205, 444 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 415, 564, 205, 444?
Answer: HCF of 415, 564, 205, 444 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 415, 564, 205, 444 using Euclid's Algorithm?
Answer: For arbitrary numbers 415, 564, 205, 444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
