Highest Common Factor of 447, 499, 420 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 447, 499, 420 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 499, 420 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 447, 499, 420 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 447, 499, 420 is 1.
HCF(447, 499, 420) = 1
HCF of 447, 499, 420 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 499, 420 is 1.
Highest Common Factor of 447,499,420 is 1
Step 1: Since 499 > 447, we apply the division lemma to 499 and 447, to get
499 = 447 x 1 + 52
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 52 and 447, to get
447 = 52 x 8 + 31
Step 3: We consider the new divisor 52 and the new remainder 31, and apply the division lemma to get
52 = 31 x 1 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 447 and 499 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(52,31) = HCF(447,52) = HCF(499,447) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 420 > 1, we apply the division lemma to 420 and 1, to get
420 = 1 x 420 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 420 is 1
Notice that 1 = HCF(420,1) .
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Frequently Asked Questions on HCF of 447, 499, 420 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 447, 499, 420?
Answer: HCF of 447, 499, 420 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 499, 420 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 499, 420 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.