Highest Common Factor of 7205, 3758, 71494 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 7205, 3758, 71494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7205, 3758, 71494 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 7205, 3758, 71494 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 7205, 3758, 71494 is 1.
HCF(7205, 3758, 71494) = 1
HCF of 7205, 3758, 71494 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7205, 3758, 71494 is 1.
Highest Common Factor of 7205,3758,71494 is 1
Step 1: Since 7205 > 3758, we apply the division lemma to 7205 and 3758, to get
7205 = 3758 x 1 + 3447
Step 2: Since the reminder 3758 ≠ 0, we apply division lemma to 3447 and 3758, to get
3758 = 3447 x 1 + 311
Step 3: We consider the new divisor 3447 and the new remainder 311, and apply the division lemma to get
3447 = 311 x 11 + 26
We consider the new divisor 311 and the new remainder 26,and apply the division lemma to get
311 = 26 x 11 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7205 and 3758 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(311,26) = HCF(3447,311) = HCF(3758,3447) = HCF(7205,3758) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71494 > 1, we apply the division lemma to 71494 and 1, to get
71494 = 1 x 71494 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71494 is 1
Notice that 1 = HCF(71494,1) .
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Frequently Asked Questions on HCF of 7205, 3758, 71494 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 7205, 3758, 71494?
Answer: HCF of 7205, 3758, 71494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7205, 3758, 71494 using Euclid's Algorithm?
Answer: For arbitrary numbers 7205, 3758, 71494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.