Highest Common Factor of 57, 96, 791, 473 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 57, 96, 791, 473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 57, 96, 791, 473 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 57, 96, 791, 473 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 57, 96, 791, 473 is 1.
HCF(57, 96, 791, 473) = 1
HCF of 57, 96, 791, 473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 57, 96, 791, 473 is 1.
Highest Common Factor of 57,96,791,473 is 1
Step 1: Since 96 > 57, we apply the division lemma to 96 and 57, to get
96 = 57 x 1 + 39
Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 39 and 57, to get
57 = 39 x 1 + 18
Step 3: We consider the new divisor 39 and the new remainder 18, and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3, and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 57 and 96 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(96,57) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 791 > 3, we apply the division lemma to 791 and 3, to get
791 = 3 x 263 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 791 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(791,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 473 > 1, we apply the division lemma to 473 and 1, to get
473 = 1 x 473 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 473 is 1
Notice that 1 = HCF(473,1) .
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Frequently Asked Questions on HCF of 57, 96, 791, 473 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 57, 96, 791, 473?
Answer: HCF of 57, 96, 791, 473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 57, 96, 791, 473 using Euclid's Algorithm?
Answer: For arbitrary numbers 57, 96, 791, 473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.