Highest Common Factor of 9042, 6282 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 9042, 6282 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 9042, 6282 is 6 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 9042, 6282 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 9042, 6282 is 6.
HCF(9042, 6282) = 6
HCF of 9042, 6282 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9042, 6282 is 6.
Highest Common Factor of 9042,6282 is 6
Step 1: Since 9042 > 6282, we apply the division lemma to 9042 and 6282, to get
9042 = 6282 x 1 + 2760
Step 2: Since the reminder 6282 ≠ 0, we apply division lemma to 2760 and 6282, to get
6282 = 2760 x 2 + 762
Step 3: We consider the new divisor 2760 and the new remainder 762, and apply the division lemma to get
2760 = 762 x 3 + 474
We consider the new divisor 762 and the new remainder 474,and apply the division lemma to get
762 = 474 x 1 + 288
We consider the new divisor 474 and the new remainder 288,and apply the division lemma to get
474 = 288 x 1 + 186
We consider the new divisor 288 and the new remainder 186,and apply the division lemma to get
288 = 186 x 1 + 102
We consider the new divisor 186 and the new remainder 102,and apply the division lemma to get
186 = 102 x 1 + 84
We consider the new divisor 102 and the new remainder 84,and apply the division lemma to get
102 = 84 x 1 + 18
We consider the new divisor 84 and the new remainder 18,and apply the division lemma to get
84 = 18 x 4 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9042 and 6282 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(84,18) = HCF(102,84) = HCF(186,102) = HCF(288,186) = HCF(474,288) = HCF(762,474) = HCF(2760,762) = HCF(6282,2760) = HCF(9042,6282) .
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Frequently Asked Questions on HCF of 9042, 6282 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 9042, 6282?
Answer: HCF of 9042, 6282 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9042, 6282 using Euclid's Algorithm?
Answer: For arbitrary numbers 9042, 6282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.