Highest Common Factor of 867, 5968 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 867, 5968 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 5968 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 867, 5968 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 867, 5968 is 1.
HCF(867, 5968) = 1
HCF of 867, 5968 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 5968 is 1.
Highest Common Factor of 867,5968 is 1
Step 1: Since 5968 > 867, we apply the division lemma to 5968 and 867, to get
5968 = 867 x 6 + 766
Step 2: Since the reminder 867 ≠ 0, we apply division lemma to 766 and 867, to get
867 = 766 x 1 + 101
Step 3: We consider the new divisor 766 and the new remainder 101, and apply the division lemma to get
766 = 101 x 7 + 59
We consider the new divisor 101 and the new remainder 59,and apply the division lemma to get
101 = 59 x 1 + 42
We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get
59 = 42 x 1 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 867 and 5968 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(101,59) = HCF(766,101) = HCF(867,766) = HCF(5968,867) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 867, 5968 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 867, 5968?
Answer: HCF of 867, 5968 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 5968 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 5968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.