Highest Common Factor of 6366, 4080, 56476 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 6366, 4080, 56476 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6366, 4080, 56476 is 2 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 6366, 4080, 56476 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 6366, 4080, 56476 is 2.
HCF(6366, 4080, 56476) = 2
HCF of 6366, 4080, 56476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6366, 4080, 56476 is 2.
Highest Common Factor of 6366,4080,56476 is 2
Step 1: Since 6366 > 4080, we apply the division lemma to 6366 and 4080, to get
6366 = 4080 x 1 + 2286
Step 2: Since the reminder 4080 ≠ 0, we apply division lemma to 2286 and 4080, to get
4080 = 2286 x 1 + 1794
Step 3: We consider the new divisor 2286 and the new remainder 1794, and apply the division lemma to get
2286 = 1794 x 1 + 492
We consider the new divisor 1794 and the new remainder 492,and apply the division lemma to get
1794 = 492 x 3 + 318
We consider the new divisor 492 and the new remainder 318,and apply the division lemma to get
492 = 318 x 1 + 174
We consider the new divisor 318 and the new remainder 174,and apply the division lemma to get
318 = 174 x 1 + 144
We consider the new divisor 174 and the new remainder 144,and apply the division lemma to get
174 = 144 x 1 + 30
We consider the new divisor 144 and the new remainder 30,and apply the division lemma to get
144 = 30 x 4 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 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 6366 and 4080 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(144,30) = HCF(174,144) = HCF(318,174) = HCF(492,318) = HCF(1794,492) = HCF(2286,1794) = HCF(4080,2286) = HCF(6366,4080) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56476 > 6, we apply the division lemma to 56476 and 6, to get
56476 = 6 x 9412 + 4
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 4 and 6, to get
6 = 4 x 1 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 56476 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(56476,6) .
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Frequently Asked Questions on HCF of 6366, 4080, 56476 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 6366, 4080, 56476?
Answer: HCF of 6366, 4080, 56476 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6366, 4080, 56476 using Euclid's Algorithm?
Answer: For arbitrary numbers 6366, 4080, 56476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
