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, 44292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 44292 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, 44292 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, 44292 is 1.
HCF(419, 44292) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 44292 is 1.
Step 1: Since 44292 > 419, we apply the division lemma to 44292 and 419, to get
44292 = 419 x 105 + 297
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 297 and 419, to get
419 = 297 x 1 + 122
Step 3: We consider the new divisor 297 and the new remainder 122, and apply the division lemma to get
297 = 122 x 2 + 53
We consider the new divisor 122 and the new remainder 53,and apply the division lemma to get
122 = 53 x 2 + 16
We consider the new divisor 53 and the new remainder 16,and apply the division lemma to get
53 = 16 x 3 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 419 and 44292 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(53,16) = HCF(122,53) = HCF(297,122) = HCF(419,297) = HCF(44292,419) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 44292?
Answer: HCF of 419, 44292 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 44292 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 44292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.