Highest Common Factor of 4542, 1897, 80952 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 4542, 1897, 80952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4542, 1897, 80952 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 4542, 1897, 80952 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 4542, 1897, 80952 is 1.
HCF(4542, 1897, 80952) = 1
HCF of 4542, 1897, 80952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4542, 1897, 80952 is 1.
Highest Common Factor of 4542,1897,80952 is 1
Step 1: Since 4542 > 1897, we apply the division lemma to 4542 and 1897, to get
4542 = 1897 x 2 + 748
Step 2: Since the reminder 1897 ≠ 0, we apply division lemma to 748 and 1897, to get
1897 = 748 x 2 + 401
Step 3: We consider the new divisor 748 and the new remainder 401, and apply the division lemma to get
748 = 401 x 1 + 347
We consider the new divisor 401 and the new remainder 347,and apply the division lemma to get
401 = 347 x 1 + 54
We consider the new divisor 347 and the new remainder 54,and apply the division lemma to get
347 = 54 x 6 + 23
We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get
54 = 23 x 2 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4542 and 1897 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(347,54) = HCF(401,347) = HCF(748,401) = HCF(1897,748) = HCF(4542,1897) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80952 > 1, we apply the division lemma to 80952 and 1, to get
80952 = 1 x 80952 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80952 is 1
Notice that 1 = HCF(80952,1) .
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Frequently Asked Questions on HCF of 4542, 1897, 80952 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 4542, 1897, 80952?
Answer: HCF of 4542, 1897, 80952 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4542, 1897, 80952 using Euclid's Algorithm?
Answer: For arbitrary numbers 4542, 1897, 80952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.