Highest Common Factor of 9208, 2831 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 9208, 2831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9208, 2831 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 9208, 2831 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 9208, 2831 is 1.
HCF(9208, 2831) = 1
HCF of 9208, 2831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9208, 2831 is 1.
Highest Common Factor of 9208,2831 is 1
Step 1: Since 9208 > 2831, we apply the division lemma to 9208 and 2831, to get
9208 = 2831 x 3 + 715
Step 2: Since the reminder 2831 ≠ 0, we apply division lemma to 715 and 2831, to get
2831 = 715 x 3 + 686
Step 3: We consider the new divisor 715 and the new remainder 686, and apply the division lemma to get
715 = 686 x 1 + 29
We consider the new divisor 686 and the new remainder 29,and apply the division lemma to get
686 = 29 x 23 + 19
We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get
29 = 19 x 1 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9208 and 2831 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(686,29) = HCF(715,686) = HCF(2831,715) = HCF(9208,2831) .
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Frequently Asked Questions on HCF of 9208, 2831 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 9208, 2831?
Answer: HCF of 9208, 2831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9208, 2831 using Euclid's Algorithm?
Answer: For arbitrary numbers 9208, 2831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.