Highest Common Factor of 5666, 9781 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 5666, 9781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5666, 9781 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 5666, 9781 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 5666, 9781 is 1.
HCF(5666, 9781) = 1
HCF of 5666, 9781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5666, 9781 is 1.
Highest Common Factor of 5666,9781 is 1
Step 1: Since 9781 > 5666, we apply the division lemma to 9781 and 5666, to get
9781 = 5666 x 1 + 4115
Step 2: Since the reminder 5666 ≠ 0, we apply division lemma to 4115 and 5666, to get
5666 = 4115 x 1 + 1551
Step 3: We consider the new divisor 4115 and the new remainder 1551, and apply the division lemma to get
4115 = 1551 x 2 + 1013
We consider the new divisor 1551 and the new remainder 1013,and apply the division lemma to get
1551 = 1013 x 1 + 538
We consider the new divisor 1013 and the new remainder 538,and apply the division lemma to get
1013 = 538 x 1 + 475
We consider the new divisor 538 and the new remainder 475,and apply the division lemma to get
538 = 475 x 1 + 63
We consider the new divisor 475 and the new remainder 63,and apply the division lemma to get
475 = 63 x 7 + 34
We consider the new divisor 63 and the new remainder 34,and apply the division lemma to get
63 = 34 x 1 + 29
We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get
34 = 29 x 1 + 5
We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get
29 = 5 x 5 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 5666 and 9781 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(475,63) = HCF(538,475) = HCF(1013,538) = HCF(1551,1013) = HCF(4115,1551) = HCF(5666,4115) = HCF(9781,5666) .
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Frequently Asked Questions on HCF of 5666, 9781 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 5666, 9781?
Answer: HCF of 5666, 9781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5666, 9781 using Euclid's Algorithm?
Answer: For arbitrary numbers 5666, 9781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.