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 2862, 5012 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2862, 5012 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 2862, 5012 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 2862, 5012 is 2.
HCF(2862, 5012) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2862, 5012 is 2.
Step 1: Since 5012 > 2862, we apply the division lemma to 5012 and 2862, to get
5012 = 2862 x 1 + 2150
Step 2: Since the reminder 2862 ≠ 0, we apply division lemma to 2150 and 2862, to get
2862 = 2150 x 1 + 712
Step 3: We consider the new divisor 2150 and the new remainder 712, and apply the division lemma to get
2150 = 712 x 3 + 14
We consider the new divisor 712 and the new remainder 14,and apply the division lemma to get
712 = 14 x 50 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2862 and 5012 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(712,14) = HCF(2150,712) = HCF(2862,2150) = HCF(5012,2862) .
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 2862, 5012?
Answer: HCF of 2862, 5012 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2862, 5012 using Euclid's Algorithm?
Answer: For arbitrary numbers 2862, 5012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.