Highest Common Factor of 4468, 8762, 28743 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 4468, 8762, 28743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4468, 8762, 28743 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 4468, 8762, 28743 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 4468, 8762, 28743 is 1.
HCF(4468, 8762, 28743) = 1
HCF of 4468, 8762, 28743 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4468, 8762, 28743 is 1.
Highest Common Factor of 4468,8762,28743 is 1
Step 1: Since 8762 > 4468, we apply the division lemma to 8762 and 4468, to get
8762 = 4468 x 1 + 4294
Step 2: Since the reminder 4468 ≠ 0, we apply division lemma to 4294 and 4468, to get
4468 = 4294 x 1 + 174
Step 3: We consider the new divisor 4294 and the new remainder 174, and apply the division lemma to get
4294 = 174 x 24 + 118
We consider the new divisor 174 and the new remainder 118,and apply the division lemma to get
174 = 118 x 1 + 56
We consider the new divisor 118 and the new remainder 56,and apply the division lemma to get
118 = 56 x 2 + 6
We consider the new divisor 56 and the new remainder 6,and apply the division lemma to get
56 = 6 x 9 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4468 and 8762 is 2
Notice that 2 = HCF(6,2) = HCF(56,6) = HCF(118,56) = HCF(174,118) = HCF(4294,174) = HCF(4468,4294) = HCF(8762,4468) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28743 > 2, we apply the division lemma to 28743 and 2, to get
28743 = 2 x 14371 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 28743 is 1
Notice that 1 = HCF(2,1) = HCF(28743,2) .
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Frequently Asked Questions on HCF of 4468, 8762, 28743 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 4468, 8762, 28743?
Answer: HCF of 4468, 8762, 28743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4468, 8762, 28743 using Euclid's Algorithm?
Answer: For arbitrary numbers 4468, 8762, 28743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
