Highest Common Factor of 4060, 8002, 40299 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 4060, 8002, 40299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4060, 8002, 40299 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 4060, 8002, 40299 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 4060, 8002, 40299 is 1.
HCF(4060, 8002, 40299) = 1
HCF of 4060, 8002, 40299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4060, 8002, 40299 is 1.
Highest Common Factor of 4060,8002,40299 is 1
Step 1: Since 8002 > 4060, we apply the division lemma to 8002 and 4060, to get
8002 = 4060 x 1 + 3942
Step 2: Since the reminder 4060 ≠ 0, we apply division lemma to 3942 and 4060, to get
4060 = 3942 x 1 + 118
Step 3: We consider the new divisor 3942 and the new remainder 118, and apply the division lemma to get
3942 = 118 x 33 + 48
We consider the new divisor 118 and the new remainder 48,and apply the division lemma to get
118 = 48 x 2 + 22
We consider the new divisor 48 and the new remainder 22,and apply the division lemma to get
48 = 22 x 2 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4060 and 8002 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(48,22) = HCF(118,48) = HCF(3942,118) = HCF(4060,3942) = HCF(8002,4060) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40299 > 2, we apply the division lemma to 40299 and 2, to get
40299 = 2 x 20149 + 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 40299 is 1
Notice that 1 = HCF(2,1) = HCF(40299,2) .
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Frequently Asked Questions on HCF of 4060, 8002, 40299 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 4060, 8002, 40299?
Answer: HCF of 4060, 8002, 40299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4060, 8002, 40299 using Euclid's Algorithm?
Answer: For arbitrary numbers 4060, 8002, 40299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.