Highest Common Factor of 9460, 6334, 24078 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 9460, 6334, 24078 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9460, 6334, 24078 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 9460, 6334, 24078 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 9460, 6334, 24078 is 2.
HCF(9460, 6334, 24078) = 2
HCF of 9460, 6334, 24078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9460, 6334, 24078 is 2.
Highest Common Factor of 9460,6334,24078 is 2
Step 1: Since 9460 > 6334, we apply the division lemma to 9460 and 6334, to get
9460 = 6334 x 1 + 3126
Step 2: Since the reminder 6334 ≠ 0, we apply division lemma to 3126 and 6334, to get
6334 = 3126 x 2 + 82
Step 3: We consider the new divisor 3126 and the new remainder 82, and apply the division lemma to get
3126 = 82 x 38 + 10
We consider the new divisor 82 and the new remainder 10,and apply the division lemma to get
82 = 10 x 8 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9460 and 6334 is 2
Notice that 2 = HCF(10,2) = HCF(82,10) = HCF(3126,82) = HCF(6334,3126) = HCF(9460,6334) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24078 > 2, we apply the division lemma to 24078 and 2, to get
24078 = 2 x 12039 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 24078 is 2
Notice that 2 = HCF(24078,2) .
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Frequently Asked Questions on HCF of 9460, 6334, 24078 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 9460, 6334, 24078?
Answer: HCF of 9460, 6334, 24078 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9460, 6334, 24078 using Euclid's Algorithm?
Answer: For arbitrary numbers 9460, 6334, 24078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.