Highest Common Factor of 9131, 8047 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 9131, 8047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9131, 8047 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 9131, 8047 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 9131, 8047 is 1.
HCF(9131, 8047) = 1
HCF of 9131, 8047 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9131, 8047 is 1.
Highest Common Factor of 9131,8047 is 1
Step 1: Since 9131 > 8047, we apply the division lemma to 9131 and 8047, to get
9131 = 8047 x 1 + 1084
Step 2: Since the reminder 8047 ≠ 0, we apply division lemma to 1084 and 8047, to get
8047 = 1084 x 7 + 459
Step 3: We consider the new divisor 1084 and the new remainder 459, and apply the division lemma to get
1084 = 459 x 2 + 166
We consider the new divisor 459 and the new remainder 166,and apply the division lemma to get
459 = 166 x 2 + 127
We consider the new divisor 166 and the new remainder 127,and apply the division lemma to get
166 = 127 x 1 + 39
We consider the new divisor 127 and the new remainder 39,and apply the division lemma to get
127 = 39 x 3 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 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 9131 and 8047 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(127,39) = HCF(166,127) = HCF(459,166) = HCF(1084,459) = HCF(8047,1084) = HCF(9131,8047) .
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Frequently Asked Questions on HCF of 9131, 8047 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 9131, 8047?
Answer: HCF of 9131, 8047 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9131, 8047 using Euclid's Algorithm?
Answer: For arbitrary numbers 9131, 8047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.