Highest Common Factor of 419, 788, 61 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 419, 788, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 788, 61 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 419, 788, 61 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 419, 788, 61 is 1.
HCF(419, 788, 61) = 1
HCF of 419, 788, 61 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 788, 61 is 1.
Highest Common Factor of 419,788,61 is 1
Step 1: Since 788 > 419, we apply the division lemma to 788 and 419, to get
788 = 419 x 1 + 369
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 369 and 419, to get
419 = 369 x 1 + 50
Step 3: We consider the new divisor 369 and the new remainder 50, and apply the division lemma to get
369 = 50 x 7 + 19
We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get
50 = 19 x 2 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
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 419 and 788 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(369,50) = HCF(419,369) = HCF(788,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 1, we apply the division lemma to 61 and 1, to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61 is 1
Notice that 1 = HCF(61,1) .
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Frequently Asked Questions on HCF of 419, 788, 61 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 419, 788, 61?
Answer: HCF of 419, 788, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 788, 61 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 788, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.