Highest Common Factor of 944, 493, 917, 413 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 944, 493, 917, 413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 493, 917, 413 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 944, 493, 917, 413 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 944, 493, 917, 413 is 1.
HCF(944, 493, 917, 413) = 1
HCF of 944, 493, 917, 413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 493, 917, 413 is 1.
Highest Common Factor of 944,493,917,413 is 1
Step 1: Since 944 > 493, we apply the division lemma to 944 and 493, to get
944 = 493 x 1 + 451
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 451 and 493, to get
493 = 451 x 1 + 42
Step 3: We consider the new divisor 451 and the new remainder 42, and apply the division lemma to get
451 = 42 x 10 + 31
We consider the new divisor 42 and the new remainder 31,and apply the division lemma to get
42 = 31 x 1 + 11
We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get
31 = 11 x 2 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 944 and 493 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(42,31) = HCF(451,42) = HCF(493,451) = HCF(944,493) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 413 > 1, we apply the division lemma to 413 and 1, to get
413 = 1 x 413 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 413 is 1
Notice that 1 = HCF(413,1) .
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Frequently Asked Questions on HCF of 944, 493, 917, 413 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 944, 493, 917, 413?
Answer: HCF of 944, 493, 917, 413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 493, 917, 413 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 493, 917, 413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.