Highest Common Factor of 457, 60447 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 457, 60447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 60447 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 457, 60447 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 457, 60447 is 1.
HCF(457, 60447) = 1
HCF of 457, 60447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 457, 60447 is 1.
Highest Common Factor of 457,60447 is 1
Step 1: Since 60447 > 457, we apply the division lemma to 60447 and 457, to get
60447 = 457 x 132 + 123
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 123 and 457, to get
457 = 123 x 3 + 88
Step 3: We consider the new divisor 123 and the new remainder 88, and apply the division lemma to get
123 = 88 x 1 + 35
We consider the new divisor 88 and the new remainder 35,and apply the division lemma to get
88 = 35 x 2 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 457 and 60447 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(88,35) = HCF(123,88) = HCF(457,123) = HCF(60447,457) .
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Frequently Asked Questions on HCF of 457, 60447 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 457, 60447?
Answer: HCF of 457, 60447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 60447 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 60447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.