Highest Common Factor of 963, 1898, 8580 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 963, 1898, 8580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 1898, 8580 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 963, 1898, 8580 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 963, 1898, 8580 is 1.
HCF(963, 1898, 8580) = 1
HCF of 963, 1898, 8580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 1898, 8580 is 1.
Highest Common Factor of 963,1898,8580 is 1
Step 1: Since 1898 > 963, we apply the division lemma to 1898 and 963, to get
1898 = 963 x 1 + 935
Step 2: Since the reminder 963 ≠ 0, we apply division lemma to 935 and 963, to get
963 = 935 x 1 + 28
Step 3: We consider the new divisor 935 and the new remainder 28, and apply the division lemma to get
935 = 28 x 33 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 963 and 1898 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(935,28) = HCF(963,935) = HCF(1898,963) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8580 > 1, we apply the division lemma to 8580 and 1, to get
8580 = 1 x 8580 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8580 is 1
Notice that 1 = HCF(8580,1) .
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Frequently Asked Questions on HCF of 963, 1898, 8580 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 963, 1898, 8580?
Answer: HCF of 963, 1898, 8580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 1898, 8580 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 1898, 8580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.