Highest Common Factor of 473, 791, 308 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 473, 791, 308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 473, 791, 308 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 473, 791, 308 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 473, 791, 308 is 1.
HCF(473, 791, 308) = 1
HCF of 473, 791, 308 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 473, 791, 308 is 1.
Highest Common Factor of 473,791,308 is 1
Step 1: Since 791 > 473, we apply the division lemma to 791 and 473, to get
791 = 473 x 1 + 318
Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 318 and 473, to get
473 = 318 x 1 + 155
Step 3: We consider the new divisor 318 and the new remainder 155, and apply the division lemma to get
318 = 155 x 2 + 8
We consider the new divisor 155 and the new remainder 8,and apply the division lemma to get
155 = 8 x 19 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 473 and 791 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(155,8) = HCF(318,155) = HCF(473,318) = HCF(791,473) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 308 > 1, we apply the division lemma to 308 and 1, to get
308 = 1 x 308 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 308 is 1
Notice that 1 = HCF(308,1) .
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Frequently Asked Questions on HCF of 473, 791, 308 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 473, 791, 308?
Answer: HCF of 473, 791, 308 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 473, 791, 308 using Euclid's Algorithm?
Answer: For arbitrary numbers 473, 791, 308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.