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 865, 28428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 865, 28428 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 865, 28428 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 865, 28428 is 1.
HCF(865, 28428) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 865, 28428 is 1.
Step 1: Since 28428 > 865, we apply the division lemma to 28428 and 865, to get
28428 = 865 x 32 + 748
Step 2: Since the reminder 865 ≠ 0, we apply division lemma to 748 and 865, to get
865 = 748 x 1 + 117
Step 3: We consider the new divisor 748 and the new remainder 117, and apply the division lemma to get
748 = 117 x 6 + 46
We consider the new divisor 117 and the new remainder 46,and apply the division lemma to get
117 = 46 x 2 + 25
We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get
46 = 25 x 1 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 865 and 28428 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(117,46) = HCF(748,117) = HCF(865,748) = HCF(28428,865) .
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 865, 28428?
Answer: HCF of 865, 28428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 865, 28428 using Euclid's Algorithm?
Answer: For arbitrary numbers 865, 28428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.