Highest Common Factor of 4349, 7616, 21073 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 4349, 7616, 21073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4349, 7616, 21073 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 4349, 7616, 21073 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 4349, 7616, 21073 is 1.
HCF(4349, 7616, 21073) = 1
HCF of 4349, 7616, 21073 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4349, 7616, 21073 is 1.
Highest Common Factor of 4349,7616,21073 is 1
Step 1: Since 7616 > 4349, we apply the division lemma to 7616 and 4349, to get
7616 = 4349 x 1 + 3267
Step 2: Since the reminder 4349 ≠ 0, we apply division lemma to 3267 and 4349, to get
4349 = 3267 x 1 + 1082
Step 3: We consider the new divisor 3267 and the new remainder 1082, and apply the division lemma to get
3267 = 1082 x 3 + 21
We consider the new divisor 1082 and the new remainder 21,and apply the division lemma to get
1082 = 21 x 51 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 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 4349 and 7616 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(1082,21) = HCF(3267,1082) = HCF(4349,3267) = HCF(7616,4349) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 21073 > 1, we apply the division lemma to 21073 and 1, to get
21073 = 1 x 21073 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21073 is 1
Notice that 1 = HCF(21073,1) .
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Frequently Asked Questions on HCF of 4349, 7616, 21073 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 4349, 7616, 21073?
Answer: HCF of 4349, 7616, 21073 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4349, 7616, 21073 using Euclid's Algorithm?
Answer: For arbitrary numbers 4349, 7616, 21073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.