Highest Common Factor of 363, 792, 419 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 363, 792, 419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 363, 792, 419 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 363, 792, 419 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 363, 792, 419 is 1.
HCF(363, 792, 419) = 1
HCF of 363, 792, 419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 363, 792, 419 is 1.
Highest Common Factor of 363,792,419 is 1
Step 1: Since 792 > 363, we apply the division lemma to 792 and 363, to get
792 = 363 x 2 + 66
Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 66 and 363, to get
363 = 66 x 5 + 33
Step 3: We consider the new divisor 66 and the new remainder 33, and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 363 and 792 is 33
Notice that 33 = HCF(66,33) = HCF(363,66) = HCF(792,363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 419 > 33, we apply the division lemma to 419 and 33, to get
419 = 33 x 12 + 23
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 23 and 33, to get
33 = 23 x 1 + 10
Step 3: We consider the new divisor 23 and the new remainder 10, and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 419 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(419,33) .
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Frequently Asked Questions on HCF of 363, 792, 419 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 363, 792, 419?
Answer: HCF of 363, 792, 419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 363, 792, 419 using Euclid's Algorithm?
Answer: For arbitrary numbers 363, 792, 419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.