Highest Common Factor of 462, 282, 786, 624 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 462, 282, 786, 624 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 462, 282, 786, 624 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 462, 282, 786, 624 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 462, 282, 786, 624 is 6.
HCF(462, 282, 786, 624) = 6
HCF of 462, 282, 786, 624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 462, 282, 786, 624 is 6.
Highest Common Factor of 462,282,786,624 is 6
Step 1: Since 462 > 282, we apply the division lemma to 462 and 282, to get
462 = 282 x 1 + 180
Step 2: Since the reminder 282 ≠ 0, we apply division lemma to 180 and 282, to get
282 = 180 x 1 + 102
Step 3: We consider the new divisor 180 and the new remainder 102, and apply the division lemma to get
180 = 102 x 1 + 78
We consider the new divisor 102 and the new remainder 78,and apply the division lemma to get
102 = 78 x 1 + 24
We consider the new divisor 78 and the new remainder 24,and apply the division lemma to get
78 = 24 x 3 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 462 and 282 is 6
Notice that 6 = HCF(24,6) = HCF(78,24) = HCF(102,78) = HCF(180,102) = HCF(282,180) = HCF(462,282) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 786 > 6, we apply the division lemma to 786 and 6, to get
786 = 6 x 131 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6 and 786 is 6
Notice that 6 = HCF(786,6) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 624 > 6, we apply the division lemma to 624 and 6, to get
624 = 6 x 104 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6 and 624 is 6
Notice that 6 = HCF(624,6) .
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Frequently Asked Questions on HCF of 462, 282, 786, 624 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 462, 282, 786, 624?
Answer: HCF of 462, 282, 786, 624 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 462, 282, 786, 624 using Euclid's Algorithm?
Answer: For arbitrary numbers 462, 282, 786, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.