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 5864, 2870 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5864, 2870 is 2 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 5864, 2870 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 5864, 2870 is 2.
HCF(5864, 2870) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5864, 2870 is 2.
Step 1: Since 5864 > 2870, we apply the division lemma to 5864 and 2870, to get
5864 = 2870 x 2 + 124
Step 2: Since the reminder 2870 ≠ 0, we apply division lemma to 124 and 2870, to get
2870 = 124 x 23 + 18
Step 3: We consider the new divisor 124 and the new remainder 18, and apply the division lemma to get
124 = 18 x 6 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5864 and 2870 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(124,18) = HCF(2870,124) = HCF(5864,2870) .
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 5864, 2870?
Answer: HCF of 5864, 2870 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5864, 2870 using Euclid's Algorithm?
Answer: For arbitrary numbers 5864, 2870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.