Highest Common Factor of 9338, 6171 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 9338, 6171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9338, 6171 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 9338, 6171 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 9338, 6171 is 1.
HCF(9338, 6171) = 1
HCF of 9338, 6171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9338, 6171 is 1.
Highest Common Factor of 9338,6171 is 1
Step 1: Since 9338 > 6171, we apply the division lemma to 9338 and 6171, to get
9338 = 6171 x 1 + 3167
Step 2: Since the reminder 6171 ≠ 0, we apply division lemma to 3167 and 6171, to get
6171 = 3167 x 1 + 3004
Step 3: We consider the new divisor 3167 and the new remainder 3004, and apply the division lemma to get
3167 = 3004 x 1 + 163
We consider the new divisor 3004 and the new remainder 163,and apply the division lemma to get
3004 = 163 x 18 + 70
We consider the new divisor 163 and the new remainder 70,and apply the division lemma to get
163 = 70 x 2 + 23
We consider the new divisor 70 and the new remainder 23,and apply the division lemma to get
70 = 23 x 3 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9338 and 6171 is 1
Notice that 1 = HCF(23,1) = HCF(70,23) = HCF(163,70) = HCF(3004,163) = HCF(3167,3004) = HCF(6171,3167) = HCF(9338,6171) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9338, 6171 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 9338, 6171?
Answer: HCF of 9338, 6171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9338, 6171 using Euclid's Algorithm?
Answer: For arbitrary numbers 9338, 6171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.