Highest Common Factor of 4044, 458 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 4044, 458 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4044, 458 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 4044, 458 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 4044, 458 is 2.
HCF(4044, 458) = 2
HCF of 4044, 458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4044, 458 is 2.
Highest Common Factor of 4044,458 is 2
Step 1: Since 4044 > 458, we apply the division lemma to 4044 and 458, to get
4044 = 458 x 8 + 380
Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 380 and 458, to get
458 = 380 x 1 + 78
Step 3: We consider the new divisor 380 and the new remainder 78, and apply the division lemma to get
380 = 78 x 4 + 68
We consider the new divisor 78 and the new remainder 68,and apply the division lemma to get
78 = 68 x 1 + 10
We consider the new divisor 68 and the new remainder 10,and apply the division lemma to get
68 = 10 x 6 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4044 and 458 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(68,10) = HCF(78,68) = HCF(380,78) = HCF(458,380) = HCF(4044,458) .
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Frequently Asked Questions on HCF of 4044, 458 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 4044, 458?
Answer: HCF of 4044, 458 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4044, 458 using Euclid's Algorithm?
Answer: For arbitrary numbers 4044, 458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.