Highest Common Factor of 3868, 4077, 85105 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 3868, 4077, 85105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3868, 4077, 85105 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 3868, 4077, 85105 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 3868, 4077, 85105 is 1.
HCF(3868, 4077, 85105) = 1
HCF of 3868, 4077, 85105 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3868, 4077, 85105 is 1.
Highest Common Factor of 3868,4077,85105 is 1
Step 1: Since 4077 > 3868, we apply the division lemma to 4077 and 3868, to get
4077 = 3868 x 1 + 209
Step 2: Since the reminder 3868 ≠ 0, we apply division lemma to 209 and 3868, to get
3868 = 209 x 18 + 106
Step 3: We consider the new divisor 209 and the new remainder 106, and apply the division lemma to get
209 = 106 x 1 + 103
We consider the new divisor 106 and the new remainder 103,and apply the division lemma to get
106 = 103 x 1 + 3
We consider the new divisor 103 and the new remainder 3,and apply the division lemma to get
103 = 3 x 34 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3868 and 4077 is 1
Notice that 1 = HCF(3,1) = HCF(103,3) = HCF(106,103) = HCF(209,106) = HCF(3868,209) = HCF(4077,3868) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85105 > 1, we apply the division lemma to 85105 and 1, to get
85105 = 1 x 85105 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85105 is 1
Notice that 1 = HCF(85105,1) .
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Frequently Asked Questions on HCF of 3868, 4077, 85105 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 3868, 4077, 85105?
Answer: HCF of 3868, 4077, 85105 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3868, 4077, 85105 using Euclid's Algorithm?
Answer: For arbitrary numbers 3868, 4077, 85105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.