Highest Common Factor of 908, 563 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, 563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 563 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, 563 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, 563 is 1.
HCF(908, 563) = 1
HCF of 908, 563 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, 563 is 1.
Highest Common Factor of 908,563 is 1
Step 1: Since 908 > 563, we apply the division lemma to 908 and 563, to get
908 = 563 x 1 + 345
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 345 and 563, to get
563 = 345 x 1 + 218
Step 3: We consider the new divisor 345 and the new remainder 218, and apply the division lemma to get
345 = 218 x 1 + 127
We consider the new divisor 218 and the new remainder 127,and apply the division lemma to get
218 = 127 x 1 + 91
We consider the new divisor 127 and the new remainder 91,and apply the division lemma to get
127 = 91 x 1 + 36
We consider the new divisor 91 and the new remainder 36,and apply the division lemma to get
91 = 36 x 2 + 19
We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get
36 = 19 x 1 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 563 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(91,36) = HCF(127,91) = HCF(218,127) = HCF(345,218) = HCF(563,345) = HCF(908,563) .
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Frequently Asked Questions on HCF of 908, 563 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, 563?
Answer: HCF of 908, 563 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 563 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.