Highest Common Factor of 619, 410, 59 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 619, 410, 59 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 619, 410, 59 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 619, 410, 59 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 619, 410, 59 is 1.
HCF(619, 410, 59) = 1
HCF of 619, 410, 59 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 619, 410, 59 is 1.
Highest Common Factor of 619,410,59 is 1
Step 1: Since 619 > 410, we apply the division lemma to 619 and 410, to get
619 = 410 x 1 + 209
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 209 and 410, to get
410 = 209 x 1 + 201
Step 3: We consider the new divisor 209 and the new remainder 201, and apply the division lemma to get
209 = 201 x 1 + 8
We consider the new divisor 201 and the new remainder 8,and apply the division lemma to get
201 = 8 x 25 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 619 and 410 is 1
Notice that 1 = HCF(8,1) = HCF(201,8) = HCF(209,201) = HCF(410,209) = HCF(619,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59 > 1, we apply the division lemma to 59 and 1, to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59 is 1
Notice that 1 = HCF(59,1) .
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Frequently Asked Questions on HCF of 619, 410, 59 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 619, 410, 59?
Answer: HCF of 619, 410, 59 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 619, 410, 59 using Euclid's Algorithm?
Answer: For arbitrary numbers 619, 410, 59 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.