Highest Common Factor of 9369, 6167 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 9369, 6167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9369, 6167 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 9369, 6167 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 9369, 6167 is 1.
HCF(9369, 6167) = 1
HCF of 9369, 6167 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9369, 6167 is 1.
Highest Common Factor of 9369,6167 is 1
Step 1: Since 9369 > 6167, we apply the division lemma to 9369 and 6167, to get
9369 = 6167 x 1 + 3202
Step 2: Since the reminder 6167 ≠ 0, we apply division lemma to 3202 and 6167, to get
6167 = 3202 x 1 + 2965
Step 3: We consider the new divisor 3202 and the new remainder 2965, and apply the division lemma to get
3202 = 2965 x 1 + 237
We consider the new divisor 2965 and the new remainder 237,and apply the division lemma to get
2965 = 237 x 12 + 121
We consider the new divisor 237 and the new remainder 121,and apply the division lemma to get
237 = 121 x 1 + 116
We consider the new divisor 121 and the new remainder 116,and apply the division lemma to get
121 = 116 x 1 + 5
We consider the new divisor 116 and the new remainder 5,and apply the division lemma to get
116 = 5 x 23 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9369 and 6167 is 1
Notice that 1 = HCF(5,1) = HCF(116,5) = HCF(121,116) = HCF(237,121) = HCF(2965,237) = HCF(3202,2965) = HCF(6167,3202) = HCF(9369,6167) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9369, 6167 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 9369, 6167?
Answer: HCF of 9369, 6167 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9369, 6167 using Euclid's Algorithm?
Answer: For arbitrary numbers 9369, 6167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.