Highest Common Factor of 4180, 2452 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 4180, 2452 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4180, 2452 is 4 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 4180, 2452 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 4180, 2452 is 4.
HCF(4180, 2452) = 4
HCF of 4180, 2452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4180, 2452 is 4.
Highest Common Factor of 4180,2452 is 4
Step 1: Since 4180 > 2452, we apply the division lemma to 4180 and 2452, to get
4180 = 2452 x 1 + 1728
Step 2: Since the reminder 2452 ≠ 0, we apply division lemma to 1728 and 2452, to get
2452 = 1728 x 1 + 724
Step 3: We consider the new divisor 1728 and the new remainder 724, and apply the division lemma to get
1728 = 724 x 2 + 280
We consider the new divisor 724 and the new remainder 280,and apply the division lemma to get
724 = 280 x 2 + 164
We consider the new divisor 280 and the new remainder 164,and apply the division lemma to get
280 = 164 x 1 + 116
We consider the new divisor 164 and the new remainder 116,and apply the division lemma to get
164 = 116 x 1 + 48
We consider the new divisor 116 and the new remainder 48,and apply the division lemma to get
116 = 48 x 2 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4180 and 2452 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(116,48) = HCF(164,116) = HCF(280,164) = HCF(724,280) = HCF(1728,724) = HCF(2452,1728) = HCF(4180,2452) .
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Frequently Asked Questions on HCF of 4180, 2452 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 4180, 2452?
Answer: HCF of 4180, 2452 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4180, 2452 using Euclid's Algorithm?
Answer: For arbitrary numbers 4180, 2452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.