Highest Common Factor of 908, 559, 446 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 908, 559, 446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 559, 446 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 908, 559, 446 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 908, 559, 446 is 1.
HCF(908, 559, 446) = 1
HCF of 908, 559, 446 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 908, 559, 446 is 1.
Highest Common Factor of 908,559,446 is 1
Step 1: Since 908 > 559, we apply the division lemma to 908 and 559, to get
908 = 559 x 1 + 349
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 349 and 559, to get
559 = 349 x 1 + 210
Step 3: We consider the new divisor 349 and the new remainder 210, and apply the division lemma to get
349 = 210 x 1 + 139
We consider the new divisor 210 and the new remainder 139,and apply the division lemma to get
210 = 139 x 1 + 71
We consider the new divisor 139 and the new remainder 71,and apply the division lemma to get
139 = 71 x 1 + 68
We consider the new divisor 71 and the new remainder 68,and apply the division lemma to get
71 = 68 x 1 + 3
We consider the new divisor 68 and the new remainder 3,and apply the division lemma to get
68 = 3 x 22 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 908 and 559 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(68,3) = HCF(71,68) = HCF(139,71) = HCF(210,139) = HCF(349,210) = HCF(559,349) = HCF(908,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 446 > 1, we apply the division lemma to 446 and 1, to get
446 = 1 x 446 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 446 is 1
Notice that 1 = HCF(446,1) .
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Frequently Asked Questions on HCF of 908, 559, 446 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 908, 559, 446?
Answer: HCF of 908, 559, 446 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 559, 446 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 559, 446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
