Highest Common Factor of 531, 6018, 6294 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 531, 6018, 6294 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 6018, 6294 is 3 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 531, 6018, 6294 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 531, 6018, 6294 is 3.
HCF(531, 6018, 6294) = 3
HCF of 531, 6018, 6294 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 6018, 6294 is 3.
Highest Common Factor of 531,6018,6294 is 3
Step 1: Since 6018 > 531, we apply the division lemma to 6018 and 531, to get
6018 = 531 x 11 + 177
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 177 and 531, to get
531 = 177 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 177, the HCF of 531 and 6018 is 177
Notice that 177 = HCF(531,177) = HCF(6018,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6294 > 177, we apply the division lemma to 6294 and 177, to get
6294 = 177 x 35 + 99
Step 2: Since the reminder 177 ≠ 0, we apply division lemma to 99 and 177, to get
177 = 99 x 1 + 78
Step 3: We consider the new divisor 99 and the new remainder 78, and apply the division lemma to get
99 = 78 x 1 + 21
We consider the new divisor 78 and the new remainder 21,and apply the division lemma to get
78 = 21 x 3 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 177 and 6294 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(78,21) = HCF(99,78) = HCF(177,99) = HCF(6294,177) .
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Frequently Asked Questions on HCF of 531, 6018, 6294 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 531, 6018, 6294?
Answer: HCF of 531, 6018, 6294 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 6018, 6294 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 6018, 6294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.