Highest Common Factor of 3165, 4261 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 3165, 4261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3165, 4261 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 3165, 4261 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 3165, 4261 is 1.
HCF(3165, 4261) = 1
HCF of 3165, 4261 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3165, 4261 is 1.
Highest Common Factor of 3165,4261 is 1
Step 1: Since 4261 > 3165, we apply the division lemma to 4261 and 3165, to get
4261 = 3165 x 1 + 1096
Step 2: Since the reminder 3165 ≠ 0, we apply division lemma to 1096 and 3165, to get
3165 = 1096 x 2 + 973
Step 3: We consider the new divisor 1096 and the new remainder 973, and apply the division lemma to get
1096 = 973 x 1 + 123
We consider the new divisor 973 and the new remainder 123,and apply the division lemma to get
973 = 123 x 7 + 112
We consider the new divisor 123 and the new remainder 112,and apply the division lemma to get
123 = 112 x 1 + 11
We consider the new divisor 112 and the new remainder 11,and apply the division lemma to get
112 = 11 x 10 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 3165 and 4261 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(112,11) = HCF(123,112) = HCF(973,123) = HCF(1096,973) = HCF(3165,1096) = HCF(4261,3165) .
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Frequently Asked Questions on HCF of 3165, 4261 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 3165, 4261?
Answer: HCF of 3165, 4261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3165, 4261 using Euclid's Algorithm?
Answer: For arbitrary numbers 3165, 4261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.