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 965, 5988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 5988 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 965, 5988 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 965, 5988 is 1.
HCF(965, 5988) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 5988 is 1.
Step 1: Since 5988 > 965, we apply the division lemma to 5988 and 965, to get
5988 = 965 x 6 + 198
Step 2: Since the reminder 965 ≠ 0, we apply division lemma to 198 and 965, to get
965 = 198 x 4 + 173
Step 3: We consider the new divisor 198 and the new remainder 173, and apply the division lemma to get
198 = 173 x 1 + 25
We consider the new divisor 173 and the new remainder 25,and apply the division lemma to get
173 = 25 x 6 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 965 and 5988 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(173,25) = HCF(198,173) = HCF(965,198) = HCF(5988,965) .
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 965, 5988?
Answer: HCF of 965, 5988 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 5988 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 5988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.