Highest Common Factor of 5945, 8447 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 5945, 8447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5945, 8447 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 5945, 8447 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 5945, 8447 is 1.
HCF(5945, 8447) = 1
HCF of 5945, 8447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5945, 8447 is 1.
Highest Common Factor of 5945,8447 is 1
Step 1: Since 8447 > 5945, we apply the division lemma to 8447 and 5945, to get
8447 = 5945 x 1 + 2502
Step 2: Since the reminder 5945 ≠ 0, we apply division lemma to 2502 and 5945, to get
5945 = 2502 x 2 + 941
Step 3: We consider the new divisor 2502 and the new remainder 941, and apply the division lemma to get
2502 = 941 x 2 + 620
We consider the new divisor 941 and the new remainder 620,and apply the division lemma to get
941 = 620 x 1 + 321
We consider the new divisor 620 and the new remainder 321,and apply the division lemma to get
620 = 321 x 1 + 299
We consider the new divisor 321 and the new remainder 299,and apply the division lemma to get
321 = 299 x 1 + 22
We consider the new divisor 299 and the new remainder 22,and apply the division lemma to get
299 = 22 x 13 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5945 and 8447 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(299,22) = HCF(321,299) = HCF(620,321) = HCF(941,620) = HCF(2502,941) = HCF(5945,2502) = HCF(8447,5945) .
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Frequently Asked Questions on HCF of 5945, 8447 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 5945, 8447?
Answer: HCF of 5945, 8447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5945, 8447 using Euclid's Algorithm?
Answer: For arbitrary numbers 5945, 8447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
