Highest Common Factor of 6398, 9786 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 6398, 9786 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 6398, 9786 is 14 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 6398, 9786 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 6398, 9786 is 14.
HCF(6398, 9786) = 14
HCF of 6398, 9786 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6398, 9786 is 14.
Highest Common Factor of 6398,9786 is 14
Step 1: Since 9786 > 6398, we apply the division lemma to 9786 and 6398, to get
9786 = 6398 x 1 + 3388
Step 2: Since the reminder 6398 ≠ 0, we apply division lemma to 3388 and 6398, to get
6398 = 3388 x 1 + 3010
Step 3: We consider the new divisor 3388 and the new remainder 3010, and apply the division lemma to get
3388 = 3010 x 1 + 378
We consider the new divisor 3010 and the new remainder 378,and apply the division lemma to get
3010 = 378 x 7 + 364
We consider the new divisor 378 and the new remainder 364,and apply the division lemma to get
378 = 364 x 1 + 14
We consider the new divisor 364 and the new remainder 14,and apply the division lemma to get
364 = 14 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 6398 and 9786 is 14
Notice that 14 = HCF(364,14) = HCF(378,364) = HCF(3010,378) = HCF(3388,3010) = HCF(6398,3388) = HCF(9786,6398) .
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Frequently Asked Questions on HCF of 6398, 9786 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 6398, 9786?
Answer: HCF of 6398, 9786 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6398, 9786 using Euclid's Algorithm?
Answer: For arbitrary numbers 6398, 9786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.