Highest Common Factor of 5786, 9558, 94878 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 5786, 9558, 94878 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5786, 9558, 94878 is 2 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 5786, 9558, 94878 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 5786, 9558, 94878 is 2.
HCF(5786, 9558, 94878) = 2
HCF of 5786, 9558, 94878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5786, 9558, 94878 is 2.
Highest Common Factor of 5786,9558,94878 is 2
Step 1: Since 9558 > 5786, we apply the division lemma to 9558 and 5786, to get
9558 = 5786 x 1 + 3772
Step 2: Since the reminder 5786 ≠ 0, we apply division lemma to 3772 and 5786, to get
5786 = 3772 x 1 + 2014
Step 3: We consider the new divisor 3772 and the new remainder 2014, and apply the division lemma to get
3772 = 2014 x 1 + 1758
We consider the new divisor 2014 and the new remainder 1758,and apply the division lemma to get
2014 = 1758 x 1 + 256
We consider the new divisor 1758 and the new remainder 256,and apply the division lemma to get
1758 = 256 x 6 + 222
We consider the new divisor 256 and the new remainder 222,and apply the division lemma to get
256 = 222 x 1 + 34
We consider the new divisor 222 and the new remainder 34,and apply the division lemma to get
222 = 34 x 6 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5786 and 9558 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(222,34) = HCF(256,222) = HCF(1758,256) = HCF(2014,1758) = HCF(3772,2014) = HCF(5786,3772) = HCF(9558,5786) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94878 > 2, we apply the division lemma to 94878 and 2, to get
94878 = 2 x 47439 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94878 is 2
Notice that 2 = HCF(94878,2) .
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Frequently Asked Questions on HCF of 5786, 9558, 94878 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 5786, 9558, 94878?
Answer: HCF of 5786, 9558, 94878 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5786, 9558, 94878 using Euclid's Algorithm?
Answer: For arbitrary numbers 5786, 9558, 94878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.