Highest Common Factor of 908, 4659 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, 4659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 4659 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, 4659 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, 4659 is 1.
HCF(908, 4659) = 1
HCF of 908, 4659 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, 4659 is 1.
Highest Common Factor of 908,4659 is 1
Step 1: Since 4659 > 908, we apply the division lemma to 4659 and 908, to get
4659 = 908 x 5 + 119
Step 2: Since the reminder 908 ≠ 0, we apply division lemma to 119 and 908, to get
908 = 119 x 7 + 75
Step 3: We consider the new divisor 119 and the new remainder 75, and apply the division lemma to get
119 = 75 x 1 + 44
We consider the new divisor 75 and the new remainder 44,and apply the division lemma to get
75 = 44 x 1 + 31
We consider the new divisor 44 and the new remainder 31,and apply the division lemma to get
44 = 31 x 1 + 13
We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get
31 = 13 x 2 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 4659 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(44,31) = HCF(75,44) = HCF(119,75) = HCF(908,119) = HCF(4659,908) .
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Frequently Asked Questions on HCF of 908, 4659 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, 4659?
Answer: HCF of 908, 4659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 4659 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 4659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.