Highest Common Factor of 9447, 6939 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 9447, 6939 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9447, 6939 is 3 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 9447, 6939 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 9447, 6939 is 3.
HCF(9447, 6939) = 3
HCF of 9447, 6939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9447, 6939 is 3.
Highest Common Factor of 9447,6939 is 3
Step 1: Since 9447 > 6939, we apply the division lemma to 9447 and 6939, to get
9447 = 6939 x 1 + 2508
Step 2: Since the reminder 6939 ≠ 0, we apply division lemma to 2508 and 6939, to get
6939 = 2508 x 2 + 1923
Step 3: We consider the new divisor 2508 and the new remainder 1923, and apply the division lemma to get
2508 = 1923 x 1 + 585
We consider the new divisor 1923 and the new remainder 585,and apply the division lemma to get
1923 = 585 x 3 + 168
We consider the new divisor 585 and the new remainder 168,and apply the division lemma to get
585 = 168 x 3 + 81
We consider the new divisor 168 and the new remainder 81,and apply the division lemma to get
168 = 81 x 2 + 6
We consider the new divisor 81 and the new remainder 6,and apply the division lemma to get
81 = 6 x 13 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9447 and 6939 is 3
Notice that 3 = HCF(6,3) = HCF(81,6) = HCF(168,81) = HCF(585,168) = HCF(1923,585) = HCF(2508,1923) = HCF(6939,2508) = HCF(9447,6939) .
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Frequently Asked Questions on HCF of 9447, 6939 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 9447, 6939?
Answer: HCF of 9447, 6939 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9447, 6939 using Euclid's Algorithm?
Answer: For arbitrary numbers 9447, 6939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.