Highest Common Factor of 8908, 2917 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 8908, 2917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8908, 2917 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 8908, 2917 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 8908, 2917 is 1.
HCF(8908, 2917) = 1
HCF of 8908, 2917 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8908, 2917 is 1.
Highest Common Factor of 8908,2917 is 1
Step 1: Since 8908 > 2917, we apply the division lemma to 8908 and 2917, to get
8908 = 2917 x 3 + 157
Step 2: Since the reminder 2917 ≠ 0, we apply division lemma to 157 and 2917, to get
2917 = 157 x 18 + 91
Step 3: We consider the new divisor 157 and the new remainder 91, and apply the division lemma to get
157 = 91 x 1 + 66
We consider the new divisor 91 and the new remainder 66,and apply the division lemma to get
91 = 66 x 1 + 25
We consider the new divisor 66 and the new remainder 25,and apply the division lemma to get
66 = 25 x 2 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8908 and 2917 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(66,25) = HCF(91,66) = HCF(157,91) = HCF(2917,157) = HCF(8908,2917) .
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Frequently Asked Questions on HCF of 8908, 2917 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 8908, 2917?
Answer: HCF of 8908, 2917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8908, 2917 using Euclid's Algorithm?
Answer: For arbitrary numbers 8908, 2917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.