Highest Common Factor of 8032, 3147 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 8032, 3147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8032, 3147 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 8032, 3147 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 8032, 3147 is 1.
HCF(8032, 3147) = 1
HCF of 8032, 3147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8032, 3147 is 1.
Highest Common Factor of 8032,3147 is 1
Step 1: Since 8032 > 3147, we apply the division lemma to 8032 and 3147, to get
8032 = 3147 x 2 + 1738
Step 2: Since the reminder 3147 ≠ 0, we apply division lemma to 1738 and 3147, to get
3147 = 1738 x 1 + 1409
Step 3: We consider the new divisor 1738 and the new remainder 1409, and apply the division lemma to get
1738 = 1409 x 1 + 329
We consider the new divisor 1409 and the new remainder 329,and apply the division lemma to get
1409 = 329 x 4 + 93
We consider the new divisor 329 and the new remainder 93,and apply the division lemma to get
329 = 93 x 3 + 50
We consider the new divisor 93 and the new remainder 50,and apply the division lemma to get
93 = 50 x 1 + 43
We consider the new divisor 50 and the new remainder 43,and apply the division lemma to get
50 = 43 x 1 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8032 and 3147 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(50,43) = HCF(93,50) = HCF(329,93) = HCF(1409,329) = HCF(1738,1409) = HCF(3147,1738) = HCF(8032,3147) .
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Frequently Asked Questions on HCF of 8032, 3147 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 8032, 3147?
Answer: HCF of 8032, 3147 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8032, 3147 using Euclid's Algorithm?
Answer: For arbitrary numbers 8032, 3147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.