Highest Common Factor of 3145, 8307 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 3145, 8307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3145, 8307 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 3145, 8307 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 3145, 8307 is 1.
HCF(3145, 8307) = 1
HCF of 3145, 8307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3145, 8307 is 1.
Highest Common Factor of 3145,8307 is 1
Step 1: Since 8307 > 3145, we apply the division lemma to 8307 and 3145, to get
8307 = 3145 x 2 + 2017
Step 2: Since the reminder 3145 ≠ 0, we apply division lemma to 2017 and 3145, to get
3145 = 2017 x 1 + 1128
Step 3: We consider the new divisor 2017 and the new remainder 1128, and apply the division lemma to get
2017 = 1128 x 1 + 889
We consider the new divisor 1128 and the new remainder 889,and apply the division lemma to get
1128 = 889 x 1 + 239
We consider the new divisor 889 and the new remainder 239,and apply the division lemma to get
889 = 239 x 3 + 172
We consider the new divisor 239 and the new remainder 172,and apply the division lemma to get
239 = 172 x 1 + 67
We consider the new divisor 172 and the new remainder 67,and apply the division lemma to get
172 = 67 x 2 + 38
We consider the new divisor 67 and the new remainder 38,and apply the division lemma to get
67 = 38 x 1 + 29
We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get
38 = 29 x 1 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3145 and 8307 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(67,38) = HCF(172,67) = HCF(239,172) = HCF(889,239) = HCF(1128,889) = HCF(2017,1128) = HCF(3145,2017) = HCF(8307,3145) .
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Frequently Asked Questions on HCF of 3145, 8307 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 3145, 8307?
Answer: HCF of 3145, 8307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3145, 8307 using Euclid's Algorithm?
Answer: For arbitrary numbers 3145, 8307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.