Highest Common Factor of 8243, 1960, 63456 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 8243, 1960, 63456 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8243, 1960, 63456 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 8243, 1960, 63456 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 8243, 1960, 63456 is 1.
HCF(8243, 1960, 63456) = 1
HCF of 8243, 1960, 63456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8243, 1960, 63456 is 1.
Highest Common Factor of 8243,1960,63456 is 1
Step 1: Since 8243 > 1960, we apply the division lemma to 8243 and 1960, to get
8243 = 1960 x 4 + 403
Step 2: Since the reminder 1960 ≠ 0, we apply division lemma to 403 and 1960, to get
1960 = 403 x 4 + 348
Step 3: We consider the new divisor 403 and the new remainder 348, and apply the division lemma to get
403 = 348 x 1 + 55
We consider the new divisor 348 and the new remainder 55,and apply the division lemma to get
348 = 55 x 6 + 18
We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get
55 = 18 x 3 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8243 and 1960 is 1
Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(348,55) = HCF(403,348) = HCF(1960,403) = HCF(8243,1960) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63456 > 1, we apply the division lemma to 63456 and 1, to get
63456 = 1 x 63456 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63456 is 1
Notice that 1 = HCF(63456,1) .
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Frequently Asked Questions on HCF of 8243, 1960, 63456 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 8243, 1960, 63456?
Answer: HCF of 8243, 1960, 63456 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8243, 1960, 63456 using Euclid's Algorithm?
Answer: For arbitrary numbers 8243, 1960, 63456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.