Highest Common Factor of 442, 758, 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 442, 758, 419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 442, 758, 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 442, 758, 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 442, 758, 419 is 1.
HCF(442, 758, 419) = 1
HCF of 442, 758, 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 442, 758, 419 is 1.
Highest Common Factor of 442,758,419 is 1
Step 1: Since 758 > 442, we apply the division lemma to 758 and 442, to get
758 = 442 x 1 + 316
Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 316 and 442, to get
442 = 316 x 1 + 126
Step 3: We consider the new divisor 316 and the new remainder 126, and apply the division lemma to get
316 = 126 x 2 + 64
We consider the new divisor 126 and the new remainder 64,and apply the division lemma to get
126 = 64 x 1 + 62
We consider the new divisor 64 and the new remainder 62,and apply the division lemma to get
64 = 62 x 1 + 2
We consider the new divisor 62 and the new remainder 2,and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 442 and 758 is 2
Notice that 2 = HCF(62,2) = HCF(64,62) = HCF(126,64) = HCF(316,126) = HCF(442,316) = HCF(758,442) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 419 > 2, we apply the division lemma to 419 and 2, to get
419 = 2 x 209 + 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 419 is 1
Notice that 1 = HCF(2,1) = HCF(419,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 442, 758, 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 442, 758, 419?
Answer: HCF of 442, 758, 419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 442, 758, 419 using Euclid's Algorithm?
Answer: For arbitrary numbers 442, 758, 419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.