Highest Common Factor of 9349, 6338 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 9349, 6338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9349, 6338 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 9349, 6338 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 9349, 6338 is 1.
HCF(9349, 6338) = 1
HCF of 9349, 6338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9349, 6338 is 1.
Highest Common Factor of 9349,6338 is 1
Step 1: Since 9349 > 6338, we apply the division lemma to 9349 and 6338, to get
9349 = 6338 x 1 + 3011
Step 2: Since the reminder 6338 ≠ 0, we apply division lemma to 3011 and 6338, to get
6338 = 3011 x 2 + 316
Step 3: We consider the new divisor 3011 and the new remainder 316, and apply the division lemma to get
3011 = 316 x 9 + 167
We consider the new divisor 316 and the new remainder 167,and apply the division lemma to get
316 = 167 x 1 + 149
We consider the new divisor 167 and the new remainder 149,and apply the division lemma to get
167 = 149 x 1 + 18
We consider the new divisor 149 and the new remainder 18,and apply the division lemma to get
149 = 18 x 8 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9349 and 6338 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(149,18) = HCF(167,149) = HCF(316,167) = HCF(3011,316) = HCF(6338,3011) = HCF(9349,6338) .
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Frequently Asked Questions on HCF of 9349, 6338 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 9349, 6338?
Answer: HCF of 9349, 6338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9349, 6338 using Euclid's Algorithm?
Answer: For arbitrary numbers 9349, 6338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.