Highest Common Factor of 446, 7220, 9003 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 446, 7220, 9003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 446, 7220, 9003 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 446, 7220, 9003 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 446, 7220, 9003 is 1.
HCF(446, 7220, 9003) = 1
HCF of 446, 7220, 9003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 446, 7220, 9003 is 1.
Highest Common Factor of 446,7220,9003 is 1
Step 1: Since 7220 > 446, we apply the division lemma to 7220 and 446, to get
7220 = 446 x 16 + 84
Step 2: Since the reminder 446 ≠ 0, we apply division lemma to 84 and 446, to get
446 = 84 x 5 + 26
Step 3: We consider the new divisor 84 and the new remainder 26, and apply the division lemma to get
84 = 26 x 3 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 446 and 7220 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(84,26) = HCF(446,84) = HCF(7220,446) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9003 > 2, we apply the division lemma to 9003 and 2, to get
9003 = 2 x 4501 + 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 9003 is 1
Notice that 1 = HCF(2,1) = HCF(9003,2) .
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Frequently Asked Questions on HCF of 446, 7220, 9003 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 446, 7220, 9003?
Answer: HCF of 446, 7220, 9003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 446, 7220, 9003 using Euclid's Algorithm?
Answer: For arbitrary numbers 446, 7220, 9003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.