Highest Common Factor of 6076, 8393, 74113 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 6076, 8393, 74113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6076, 8393, 74113 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 6076, 8393, 74113 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 6076, 8393, 74113 is 1.
HCF(6076, 8393, 74113) = 1
HCF of 6076, 8393, 74113 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6076, 8393, 74113 is 1.
Highest Common Factor of 6076,8393,74113 is 1
Step 1: Since 8393 > 6076, we apply the division lemma to 8393 and 6076, to get
8393 = 6076 x 1 + 2317
Step 2: Since the reminder 6076 ≠ 0, we apply division lemma to 2317 and 6076, to get
6076 = 2317 x 2 + 1442
Step 3: We consider the new divisor 2317 and the new remainder 1442, and apply the division lemma to get
2317 = 1442 x 1 + 875
We consider the new divisor 1442 and the new remainder 875,and apply the division lemma to get
1442 = 875 x 1 + 567
We consider the new divisor 875 and the new remainder 567,and apply the division lemma to get
875 = 567 x 1 + 308
We consider the new divisor 567 and the new remainder 308,and apply the division lemma to get
567 = 308 x 1 + 259
We consider the new divisor 308 and the new remainder 259,and apply the division lemma to get
308 = 259 x 1 + 49
We consider the new divisor 259 and the new remainder 49,and apply the division lemma to get
259 = 49 x 5 + 14
We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get
49 = 14 x 3 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6076 and 8393 is 7
Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(259,49) = HCF(308,259) = HCF(567,308) = HCF(875,567) = HCF(1442,875) = HCF(2317,1442) = HCF(6076,2317) = HCF(8393,6076) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74113 > 7, we apply the division lemma to 74113 and 7, to get
74113 = 7 x 10587 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 74113 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(74113,7) .
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Frequently Asked Questions on HCF of 6076, 8393, 74113 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 6076, 8393, 74113?
Answer: HCF of 6076, 8393, 74113 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6076, 8393, 74113 using Euclid's Algorithm?
Answer: For arbitrary numbers 6076, 8393, 74113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
