Highest Common Factor of 489, 789, 302, 410 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 489, 789, 302, 410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 489, 789, 302, 410 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 489, 789, 302, 410 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 489, 789, 302, 410 is 1.
HCF(489, 789, 302, 410) = 1
HCF of 489, 789, 302, 410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 489, 789, 302, 410 is 1.
Highest Common Factor of 489,789,302,410 is 1
Step 1: Since 789 > 489, we apply the division lemma to 789 and 489, to get
789 = 489 x 1 + 300
Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 300 and 489, to get
489 = 300 x 1 + 189
Step 3: We consider the new divisor 300 and the new remainder 189, and apply the division lemma to get
300 = 189 x 1 + 111
We consider the new divisor 189 and the new remainder 111,and apply the division lemma to get
189 = 111 x 1 + 78
We consider the new divisor 111 and the new remainder 78,and apply the division lemma to get
111 = 78 x 1 + 33
We consider the new divisor 78 and the new remainder 33,and apply the division lemma to get
78 = 33 x 2 + 12
We consider the new divisor 33 and the new remainder 12,and apply the division lemma to get
33 = 12 x 2 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 489 and 789 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(33,12) = HCF(78,33) = HCF(111,78) = HCF(189,111) = HCF(300,189) = HCF(489,300) = HCF(789,489) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 302 > 3, we apply the division lemma to 302 and 3, to get
302 = 3 x 100 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 3 and 302 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(302,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 410 > 1, we apply the division lemma to 410 and 1, to get
410 = 1 x 410 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 410 is 1
Notice that 1 = HCF(410,1) .
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Frequently Asked Questions on HCF of 489, 789, 302, 410 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 489, 789, 302, 410?
Answer: HCF of 489, 789, 302, 410 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 489, 789, 302, 410 using Euclid's Algorithm?
Answer: For arbitrary numbers 489, 789, 302, 410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.