Highest Common Factor of 9260, 6678, 59368 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 9260, 6678, 59368 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9260, 6678, 59368 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 9260, 6678, 59368 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 9260, 6678, 59368 is 2.
HCF(9260, 6678, 59368) = 2
HCF of 9260, 6678, 59368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9260, 6678, 59368 is 2.
Highest Common Factor of 9260,6678,59368 is 2
Step 1: Since 9260 > 6678, we apply the division lemma to 9260 and 6678, to get
9260 = 6678 x 1 + 2582
Step 2: Since the reminder 6678 ≠ 0, we apply division lemma to 2582 and 6678, to get
6678 = 2582 x 2 + 1514
Step 3: We consider the new divisor 2582 and the new remainder 1514, and apply the division lemma to get
2582 = 1514 x 1 + 1068
We consider the new divisor 1514 and the new remainder 1068,and apply the division lemma to get
1514 = 1068 x 1 + 446
We consider the new divisor 1068 and the new remainder 446,and apply the division lemma to get
1068 = 446 x 2 + 176
We consider the new divisor 446 and the new remainder 176,and apply the division lemma to get
446 = 176 x 2 + 94
We consider the new divisor 176 and the new remainder 94,and apply the division lemma to get
176 = 94 x 1 + 82
We consider the new divisor 94 and the new remainder 82,and apply the division lemma to get
94 = 82 x 1 + 12
We consider the new divisor 82 and the new remainder 12,and apply the division lemma to get
82 = 12 x 6 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 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 9260 and 6678 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(82,12) = HCF(94,82) = HCF(176,94) = HCF(446,176) = HCF(1068,446) = HCF(1514,1068) = HCF(2582,1514) = HCF(6678,2582) = HCF(9260,6678) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59368 > 2, we apply the division lemma to 59368 and 2, to get
59368 = 2 x 29684 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 59368 is 2
Notice that 2 = HCF(59368,2) .
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Frequently Asked Questions on HCF of 9260, 6678, 59368 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 9260, 6678, 59368?
Answer: HCF of 9260, 6678, 59368 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9260, 6678, 59368 using Euclid's Algorithm?
Answer: For arbitrary numbers 9260, 6678, 59368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.