Highest Common Factor of 3814, 4578, 43404 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 3814, 4578, 43404 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3814, 4578, 43404 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 3814, 4578, 43404 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 3814, 4578, 43404 is 2.
HCF(3814, 4578, 43404) = 2
HCF of 3814, 4578, 43404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3814, 4578, 43404 is 2.
Highest Common Factor of 3814,4578,43404 is 2
Step 1: Since 4578 > 3814, we apply the division lemma to 4578 and 3814, to get
4578 = 3814 x 1 + 764
Step 2: Since the reminder 3814 ≠ 0, we apply division lemma to 764 and 3814, to get
3814 = 764 x 4 + 758
Step 3: We consider the new divisor 764 and the new remainder 758, and apply the division lemma to get
764 = 758 x 1 + 6
We consider the new divisor 758 and the new remainder 6,and apply the division lemma to get
758 = 6 x 126 + 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 3814 and 4578 is 2
Notice that 2 = HCF(6,2) = HCF(758,6) = HCF(764,758) = HCF(3814,764) = HCF(4578,3814) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43404 > 2, we apply the division lemma to 43404 and 2, to get
43404 = 2 x 21702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 43404 is 2
Notice that 2 = HCF(43404,2) .
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Frequently Asked Questions on HCF of 3814, 4578, 43404 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 3814, 4578, 43404?
Answer: HCF of 3814, 4578, 43404 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3814, 4578, 43404 using Euclid's Algorithm?
Answer: For arbitrary numbers 3814, 4578, 43404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.