Highest Common Factor of 6321, 8648 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 6321, 8648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6321, 8648 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 6321, 8648 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 6321, 8648 is 1.
HCF(6321, 8648) = 1
HCF of 6321, 8648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6321, 8648 is 1.
Highest Common Factor of 6321,8648 is 1
Step 1: Since 8648 > 6321, we apply the division lemma to 8648 and 6321, to get
8648 = 6321 x 1 + 2327
Step 2: Since the reminder 6321 ≠ 0, we apply division lemma to 2327 and 6321, to get
6321 = 2327 x 2 + 1667
Step 3: We consider the new divisor 2327 and the new remainder 1667, and apply the division lemma to get
2327 = 1667 x 1 + 660
We consider the new divisor 1667 and the new remainder 660,and apply the division lemma to get
1667 = 660 x 2 + 347
We consider the new divisor 660 and the new remainder 347,and apply the division lemma to get
660 = 347 x 1 + 313
We consider the new divisor 347 and the new remainder 313,and apply the division lemma to get
347 = 313 x 1 + 34
We consider the new divisor 313 and the new remainder 34,and apply the division lemma to get
313 = 34 x 9 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6321 and 8648 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(313,34) = HCF(347,313) = HCF(660,347) = HCF(1667,660) = HCF(2327,1667) = HCF(6321,2327) = HCF(8648,6321) .
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Frequently Asked Questions on HCF of 6321, 8648 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 6321, 8648?
Answer: HCF of 6321, 8648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6321, 8648 using Euclid's Algorithm?
Answer: For arbitrary numbers 6321, 8648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
