Highest Common Factor of 286, 5530, 6219 using Euclid's algorithm
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 286, 5530, 6219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 286, 5530, 6219 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 286, 5530, 6219 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 286, 5530, 6219 is 1.
HCF(286, 5530, 6219) = 1
HCF of 286, 5530, 6219 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 286, 5530, 6219 is 1.
Highest Common Factor of 286,5530,6219 is 1
Step 1: Since 5530 > 286, we apply the division lemma to 5530 and 286, to get
5530 = 286 x 19 + 96
Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 96 and 286, to get
286 = 96 x 2 + 94
Step 3: We consider the new divisor 96 and the new remainder 94, and apply the division lemma to get
96 = 94 x 1 + 2
We consider the new divisor 94 and the new remainder 2, and apply the division lemma to get
94 = 2 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 286 and 5530 is 2
Notice that 2 = HCF(94,2) = HCF(96,94) = HCF(286,96) = HCF(5530,286) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6219 > 2, we apply the division lemma to 6219 and 2, to get
6219 = 2 x 3109 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 6219 is 1
Notice that 1 = HCF(2,1) = HCF(6219,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 286, 5530, 6219 using Euclid's Algorithm
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 286, 5530, 6219?
Answer: HCF of 286, 5530, 6219 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 286, 5530, 6219 using Euclid's Algorithm?
Answer: For arbitrary numbers 286, 5530, 6219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
