Highest Common Factor of 9745, 5807 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 9745, 5807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9745, 5807 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 9745, 5807 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 9745, 5807 is 1.
HCF(9745, 5807) = 1
HCF of 9745, 5807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9745, 5807 is 1.
Highest Common Factor of 9745,5807 is 1
Step 1: Since 9745 > 5807, we apply the division lemma to 9745 and 5807, to get
9745 = 5807 x 1 + 3938
Step 2: Since the reminder 5807 ≠ 0, we apply division lemma to 3938 and 5807, to get
5807 = 3938 x 1 + 1869
Step 3: We consider the new divisor 3938 and the new remainder 1869, and apply the division lemma to get
3938 = 1869 x 2 + 200
We consider the new divisor 1869 and the new remainder 200,and apply the division lemma to get
1869 = 200 x 9 + 69
We consider the new divisor 200 and the new remainder 69,and apply the division lemma to get
200 = 69 x 2 + 62
We consider the new divisor 69 and the new remainder 62,and apply the division lemma to get
69 = 62 x 1 + 7
We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get
62 = 7 x 8 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9745 and 5807 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(69,62) = HCF(200,69) = HCF(1869,200) = HCF(3938,1869) = HCF(5807,3938) = HCF(9745,5807) .
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Frequently Asked Questions on HCF of 9745, 5807 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 9745, 5807?
Answer: HCF of 9745, 5807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9745, 5807 using Euclid's Algorithm?
Answer: For arbitrary numbers 9745, 5807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.