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, 681 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 681 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 963, 681 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, 681 is 3.
HCF(963, 681) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 681 is 3.
Step 1: Since 963 > 681, we apply the division lemma to 963 and 681, to get
963 = 681 x 1 + 282
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 282 and 681, to get
681 = 282 x 2 + 117
Step 3: We consider the new divisor 282 and the new remainder 117, and apply the division lemma to get
282 = 117 x 2 + 48
We consider the new divisor 117 and the new remainder 48,and apply the division lemma to get
117 = 48 x 2 + 21
We consider the new divisor 48 and the new remainder 21,and apply the division lemma to get
48 = 21 x 2 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 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 963 and 681 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(48,21) = HCF(117,48) = HCF(282,117) = HCF(681,282) = HCF(963,681) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 681?
Answer: HCF of 963, 681 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 681 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.