Highest Common Factor of 908, 567 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, 567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 567 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, 567 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, 567 is 1.
HCF(908, 567) = 1
HCF of 908, 567 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, 567 is 1.
Highest Common Factor of 908,567 is 1
Step 1: Since 908 > 567, we apply the division lemma to 908 and 567, to get
908 = 567 x 1 + 341
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 341 and 567, to get
567 = 341 x 1 + 226
Step 3: We consider the new divisor 341 and the new remainder 226, and apply the division lemma to get
341 = 226 x 1 + 115
We consider the new divisor 226 and the new remainder 115,and apply the division lemma to get
226 = 115 x 1 + 111
We consider the new divisor 115 and the new remainder 111,and apply the division lemma to get
115 = 111 x 1 + 4
We consider the new divisor 111 and the new remainder 4,and apply the division lemma to get
111 = 4 x 27 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 908 and 567 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(111,4) = HCF(115,111) = HCF(226,115) = HCF(341,226) = HCF(567,341) = HCF(908,567) .
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Frequently Asked Questions on HCF of 908, 567 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, 567?
Answer: HCF of 908, 567 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 567 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
