Highest Common Factor of 7399, 5573, 65884 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 7399, 5573, 65884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7399, 5573, 65884 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 7399, 5573, 65884 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 7399, 5573, 65884 is 1.
HCF(7399, 5573, 65884) = 1
HCF of 7399, 5573, 65884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7399, 5573, 65884 is 1.
Highest Common Factor of 7399,5573,65884 is 1
Step 1: Since 7399 > 5573, we apply the division lemma to 7399 and 5573, to get
7399 = 5573 x 1 + 1826
Step 2: Since the reminder 5573 ≠ 0, we apply division lemma to 1826 and 5573, to get
5573 = 1826 x 3 + 95
Step 3: We consider the new divisor 1826 and the new remainder 95, and apply the division lemma to get
1826 = 95 x 19 + 21
We consider the new divisor 95 and the new remainder 21,and apply the division lemma to get
95 = 21 x 4 + 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 7399 and 5573 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(95,21) = HCF(1826,95) = HCF(5573,1826) = HCF(7399,5573) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65884 > 1, we apply the division lemma to 65884 and 1, to get
65884 = 1 x 65884 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65884 is 1
Notice that 1 = HCF(65884,1) .
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Frequently Asked Questions on HCF of 7399, 5573, 65884 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 7399, 5573, 65884?
Answer: HCF of 7399, 5573, 65884 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7399, 5573, 65884 using Euclid's Algorithm?
Answer: For arbitrary numbers 7399, 5573, 65884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.