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, 1591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2862, 1591 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 2862, 1591 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, 1591 is 1.
HCF(2862, 1591) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2862, 1591 is 1.
Step 1: Since 2862 > 1591, we apply the division lemma to 2862 and 1591, to get
2862 = 1591 x 1 + 1271
Step 2: Since the reminder 1591 ≠ 0, we apply division lemma to 1271 and 1591, to get
1591 = 1271 x 1 + 320
Step 3: We consider the new divisor 1271 and the new remainder 320, and apply the division lemma to get
1271 = 320 x 3 + 311
We consider the new divisor 320 and the new remainder 311,and apply the division lemma to get
320 = 311 x 1 + 9
We consider the new divisor 311 and the new remainder 9,and apply the division lemma to get
311 = 9 x 34 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 2862 and 1591 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(311,9) = HCF(320,311) = HCF(1271,320) = HCF(1591,1271) = HCF(2862,1591) .
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, 1591?
Answer: HCF of 2862, 1591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2862, 1591 using Euclid's Algorithm?
Answer: For arbitrary numbers 2862, 1591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.