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 7845, 2428, 82831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7845, 2428, 82831 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 7845, 2428, 82831 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 7845, 2428, 82831 is 1.
HCF(7845, 2428, 82831) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7845, 2428, 82831 is 1.
Step 1: Since 7845 > 2428, we apply the division lemma to 7845 and 2428, to get
7845 = 2428 x 3 + 561
Step 2: Since the reminder 2428 ≠ 0, we apply division lemma to 561 and 2428, to get
2428 = 561 x 4 + 184
Step 3: We consider the new divisor 561 and the new remainder 184, and apply the division lemma to get
561 = 184 x 3 + 9
We consider the new divisor 184 and the new remainder 9,and apply the division lemma to get
184 = 9 x 20 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 7845 and 2428 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(184,9) = HCF(561,184) = HCF(2428,561) = HCF(7845,2428) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82831 > 1, we apply the division lemma to 82831 and 1, to get
82831 = 1 x 82831 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82831 is 1
Notice that 1 = HCF(82831,1) .
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 7845, 2428, 82831?
Answer: HCF of 7845, 2428, 82831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7845, 2428, 82831 using Euclid's Algorithm?
Answer: For arbitrary numbers 7845, 2428, 82831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.