Highest Common Factor of 559, 716, 441 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, 716, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 716, 441 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, 716, 441 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, 716, 441 is 1.
HCF(559, 716, 441) = 1
HCF of 559, 716, 441 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, 716, 441 is 1.
Highest Common Factor of 559,716,441 is 1
Step 1: Since 716 > 559, we apply the division lemma to 716 and 559, to get
716 = 559 x 1 + 157
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 157 and 559, to get
559 = 157 x 3 + 88
Step 3: We consider the new divisor 157 and the new remainder 88, and apply the division lemma to get
157 = 88 x 1 + 69
We consider the new divisor 88 and the new remainder 69,and apply the division lemma to get
88 = 69 x 1 + 19
We consider the new divisor 69 and the new remainder 19,and apply the division lemma to get
69 = 19 x 3 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 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 559 and 716 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(69,19) = HCF(88,69) = HCF(157,88) = HCF(559,157) = HCF(716,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get
441 = 1 x 441 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1
Notice that 1 = HCF(441,1) .
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Frequently Asked Questions on HCF of 559, 716, 441 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, 716, 441?
Answer: HCF of 559, 716, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 716, 441 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 716, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.