Highest Common Factor of 615, 433, 810, 228 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 615, 433, 810, 228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 433, 810, 228 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 615, 433, 810, 228 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 615, 433, 810, 228 is 1.
HCF(615, 433, 810, 228) = 1
HCF of 615, 433, 810, 228 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 433, 810, 228 is 1.
Highest Common Factor of 615,433,810,228 is 1
Step 1: Since 615 > 433, we apply the division lemma to 615 and 433, to get
615 = 433 x 1 + 182
Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 182 and 433, to get
433 = 182 x 2 + 69
Step 3: We consider the new divisor 182 and the new remainder 69, and apply the division lemma to get
182 = 69 x 2 + 44
We consider the new divisor 69 and the new remainder 44,and apply the division lemma to get
69 = 44 x 1 + 25
We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get
44 = 25 x 1 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 615 and 433 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(69,44) = HCF(182,69) = HCF(433,182) = HCF(615,433) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 810 > 1, we apply the division lemma to 810 and 1, to get
810 = 1 x 810 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 810 is 1
Notice that 1 = HCF(810,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 228 > 1, we apply the division lemma to 228 and 1, to get
228 = 1 x 228 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 228 is 1
Notice that 1 = HCF(228,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 615, 433, 810, 228 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 615, 433, 810, 228?
Answer: HCF of 615, 433, 810, 228 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 433, 810, 228 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 433, 810, 228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.