Highest Common Factor of 321, 4730 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 321, 4730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 321, 4730 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 321, 4730 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 321, 4730 is 1.
HCF(321, 4730) = 1
HCF of 321, 4730 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 321, 4730 is 1.
Highest Common Factor of 321,4730 is 1
Step 1: Since 4730 > 321, we apply the division lemma to 4730 and 321, to get
4730 = 321 x 14 + 236
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 236 and 321, to get
321 = 236 x 1 + 85
Step 3: We consider the new divisor 236 and the new remainder 85, and apply the division lemma to get
236 = 85 x 2 + 66
We consider the new divisor 85 and the new remainder 66,and apply the division lemma to get
85 = 66 x 1 + 19
We consider the new divisor 66 and the new remainder 19,and apply the division lemma to get
66 = 19 x 3 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 321 and 4730 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(66,19) = HCF(85,66) = HCF(236,85) = HCF(321,236) = HCF(4730,321) .
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Frequently Asked Questions on HCF of 321, 4730 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 321, 4730?
Answer: HCF of 321, 4730 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 321, 4730 using Euclid's Algorithm?
Answer: For arbitrary numbers 321, 4730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.