Highest Common Factor of 559, 945, 443 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 559, 945, 443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 945, 443 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 559, 945, 443 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 559, 945, 443 is 1.
HCF(559, 945, 443) = 1
HCF of 559, 945, 443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 559, 945, 443 is 1.
Highest Common Factor of 559,945,443 is 1
Step 1: Since 945 > 559, we apply the division lemma to 945 and 559, to get
945 = 559 x 1 + 386
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 386 and 559, to get
559 = 386 x 1 + 173
Step 3: We consider the new divisor 386 and the new remainder 173, and apply the division lemma to get
386 = 173 x 2 + 40
We consider the new divisor 173 and the new remainder 40,and apply the division lemma to get
173 = 40 x 4 + 13
We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get
40 = 13 x 3 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 559 and 945 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(173,40) = HCF(386,173) = HCF(559,386) = HCF(945,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 443 > 1, we apply the division lemma to 443 and 1, to get
443 = 1 x 443 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 443 is 1
Notice that 1 = HCF(443,1) .
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Frequently Asked Questions on HCF of 559, 945, 443 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 559, 945, 443?
Answer: HCF of 559, 945, 443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 945, 443 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 945, 443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.