Highest Common Factor of 463, 8944, 5051 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 463, 8944, 5051 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 463, 8944, 5051 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 463, 8944, 5051 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 463, 8944, 5051 is 1.
HCF(463, 8944, 5051) = 1
HCF of 463, 8944, 5051 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 463, 8944, 5051 is 1.
Highest Common Factor of 463,8944,5051 is 1
Step 1: Since 8944 > 463, we apply the division lemma to 8944 and 463, to get
8944 = 463 x 19 + 147
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 147 and 463, to get
463 = 147 x 3 + 22
Step 3: We consider the new divisor 147 and the new remainder 22, and apply the division lemma to get
147 = 22 x 6 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 463 and 8944 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(147,22) = HCF(463,147) = HCF(8944,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5051 > 1, we apply the division lemma to 5051 and 1, to get
5051 = 1 x 5051 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5051 is 1
Notice that 1 = HCF(5051,1) .
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Frequently Asked Questions on HCF of 463, 8944, 5051 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 463, 8944, 5051?
Answer: HCF of 463, 8944, 5051 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 463, 8944, 5051 using Euclid's Algorithm?
Answer: For arbitrary numbers 463, 8944, 5051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.