Highest Common Factor of 4580, 4218 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 4580, 4218 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4580, 4218 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 4580, 4218 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 4580, 4218 is 2.
HCF(4580, 4218) = 2
HCF of 4580, 4218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4580, 4218 is 2.
Highest Common Factor of 4580,4218 is 2
Step 1: Since 4580 > 4218, we apply the division lemma to 4580 and 4218, to get
4580 = 4218 x 1 + 362
Step 2: Since the reminder 4218 ≠ 0, we apply division lemma to 362 and 4218, to get
4218 = 362 x 11 + 236
Step 3: We consider the new divisor 362 and the new remainder 236, and apply the division lemma to get
362 = 236 x 1 + 126
We consider the new divisor 236 and the new remainder 126,and apply the division lemma to get
236 = 126 x 1 + 110
We consider the new divisor 126 and the new remainder 110,and apply the division lemma to get
126 = 110 x 1 + 16
We consider the new divisor 110 and the new remainder 16,and apply the division lemma to get
110 = 16 x 6 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4580 and 4218 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(110,16) = HCF(126,110) = HCF(236,126) = HCF(362,236) = HCF(4218,362) = HCF(4580,4218) .
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Frequently Asked Questions on HCF of 4580, 4218 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 4580, 4218?
Answer: HCF of 4580, 4218 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4580, 4218 using Euclid's Algorithm?
Answer: For arbitrary numbers 4580, 4218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.