Highest Common Factor of 4014, 8138, 35809 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 4014, 8138, 35809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4014, 8138, 35809 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 4014, 8138, 35809 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 4014, 8138, 35809 is 1.
HCF(4014, 8138, 35809) = 1
HCF of 4014, 8138, 35809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4014, 8138, 35809 is 1.
Highest Common Factor of 4014,8138,35809 is 1
Step 1: Since 8138 > 4014, we apply the division lemma to 8138 and 4014, to get
8138 = 4014 x 2 + 110
Step 2: Since the reminder 4014 ≠ 0, we apply division lemma to 110 and 4014, to get
4014 = 110 x 36 + 54
Step 3: We consider the new divisor 110 and the new remainder 54, and apply the division lemma to get
110 = 54 x 2 + 2
We consider the new divisor 54 and the new remainder 2, and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4014 and 8138 is 2
Notice that 2 = HCF(54,2) = HCF(110,54) = HCF(4014,110) = HCF(8138,4014) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35809 > 2, we apply the division lemma to 35809 and 2, to get
35809 = 2 x 17904 + 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 35809 is 1
Notice that 1 = HCF(2,1) = HCF(35809,2) .
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Frequently Asked Questions on HCF of 4014, 8138, 35809 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 4014, 8138, 35809?
Answer: HCF of 4014, 8138, 35809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4014, 8138, 35809 using Euclid's Algorithm?
Answer: For arbitrary numbers 4014, 8138, 35809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.