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 9289, 5146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9289, 5146 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 9289, 5146 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 9289, 5146 is 1.
HCF(9289, 5146) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9289, 5146 is 1.
Step 1: Since 9289 > 5146, we apply the division lemma to 9289 and 5146, to get
9289 = 5146 x 1 + 4143
Step 2: Since the reminder 5146 ≠ 0, we apply division lemma to 4143 and 5146, to get
5146 = 4143 x 1 + 1003
Step 3: We consider the new divisor 4143 and the new remainder 1003, and apply the division lemma to get
4143 = 1003 x 4 + 131
We consider the new divisor 1003 and the new remainder 131,and apply the division lemma to get
1003 = 131 x 7 + 86
We consider the new divisor 131 and the new remainder 86,and apply the division lemma to get
131 = 86 x 1 + 45
We consider the new divisor 86 and the new remainder 45,and apply the division lemma to get
86 = 45 x 1 + 41
We consider the new divisor 45 and the new remainder 41,and apply the division lemma to get
45 = 41 x 1 + 4
We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get
41 = 4 x 10 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9289 and 5146 is 1
Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(45,41) = HCF(86,45) = HCF(131,86) = HCF(1003,131) = HCF(4143,1003) = HCF(5146,4143) = HCF(9289,5146) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9289, 5146?
Answer: HCF of 9289, 5146 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9289, 5146 using Euclid's Algorithm?
Answer: For arbitrary numbers 9289, 5146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.