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 2731, 7087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2731, 7087 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 2731, 7087 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 2731, 7087 is 1.
HCF(2731, 7087) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2731, 7087 is 1.
Step 1: Since 7087 > 2731, we apply the division lemma to 7087 and 2731, to get
7087 = 2731 x 2 + 1625
Step 2: Since the reminder 2731 ≠ 0, we apply division lemma to 1625 and 2731, to get
2731 = 1625 x 1 + 1106
Step 3: We consider the new divisor 1625 and the new remainder 1106, and apply the division lemma to get
1625 = 1106 x 1 + 519
We consider the new divisor 1106 and the new remainder 519,and apply the division lemma to get
1106 = 519 x 2 + 68
We consider the new divisor 519 and the new remainder 68,and apply the division lemma to get
519 = 68 x 7 + 43
We consider the new divisor 68 and the new remainder 43,and apply the division lemma to get
68 = 43 x 1 + 25
We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get
43 = 25 x 1 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2731 and 7087 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(519,68) = HCF(1106,519) = HCF(1625,1106) = HCF(2731,1625) = HCF(7087,2731) .
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 2731, 7087?
Answer: HCF of 2731, 7087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2731, 7087 using Euclid's Algorithm?
Answer: For arbitrary numbers 2731, 7087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.