Highest Common Factor of 608, 4150, 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 608, 4150, 6219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 608, 4150, 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 608, 4150, 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 608, 4150, 6219 is 1.
HCF(608, 4150, 6219) = 1
HCF of 608, 4150, 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 608, 4150, 6219 is 1.
Highest Common Factor of 608,4150,6219 is 1
Step 1: Since 4150 > 608, we apply the division lemma to 4150 and 608, to get
4150 = 608 x 6 + 502
Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 502 and 608, to get
608 = 502 x 1 + 106
Step 3: We consider the new divisor 502 and the new remainder 106, and apply the division lemma to get
502 = 106 x 4 + 78
We consider the new divisor 106 and the new remainder 78,and apply the division lemma to get
106 = 78 x 1 + 28
We consider the new divisor 78 and the new remainder 28,and apply the division lemma to get
78 = 28 x 2 + 22
We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get
28 = 22 x 1 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 608 and 4150 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(78,28) = HCF(106,78) = HCF(502,106) = HCF(608,502) = HCF(4150,608) .
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) .
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Frequently Asked Questions on HCF of 608, 4150, 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 608, 4150, 6219?
Answer: HCF of 608, 4150, 6219 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 608, 4150, 6219 using Euclid's Algorithm?
Answer: For arbitrary numbers 608, 4150, 6219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
