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, 536, 908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 536, 908 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, 536, 908 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, 536, 908 is 1.
HCF(963, 536, 908) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 536, 908 is 1.
Step 1: Since 963 > 536, we apply the division lemma to 963 and 536, to get
963 = 536 x 1 + 427
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 427 and 536, to get
536 = 427 x 1 + 109
Step 3: We consider the new divisor 427 and the new remainder 109, and apply the division lemma to get
427 = 109 x 3 + 100
We consider the new divisor 109 and the new remainder 100,and apply the division lemma to get
109 = 100 x 1 + 9
We consider the new divisor 100 and the new remainder 9,and apply the division lemma to get
100 = 9 x 11 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 963 and 536 is 1
Notice that 1 = HCF(9,1) = HCF(100,9) = HCF(109,100) = HCF(427,109) = HCF(536,427) = HCF(963,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 908 > 1, we apply the division lemma to 908 and 1, to get
908 = 1 x 908 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 908 is 1
Notice that 1 = HCF(908,1) .
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, 536, 908?
Answer: HCF of 963, 536, 908 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 536, 908 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 536, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.