Highest Common Factor of 6075, 4141 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 6075, 4141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6075, 4141 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 6075, 4141 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 6075, 4141 is 1.
HCF(6075, 4141) = 1
HCF of 6075, 4141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6075, 4141 is 1.
Highest Common Factor of 6075,4141 is 1
Step 1: Since 6075 > 4141, we apply the division lemma to 6075 and 4141, to get
6075 = 4141 x 1 + 1934
Step 2: Since the reminder 4141 ≠ 0, we apply division lemma to 1934 and 4141, to get
4141 = 1934 x 2 + 273
Step 3: We consider the new divisor 1934 and the new remainder 273, and apply the division lemma to get
1934 = 273 x 7 + 23
We consider the new divisor 273 and the new remainder 23,and apply the division lemma to get
273 = 23 x 11 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6075 and 4141 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(273,23) = HCF(1934,273) = HCF(4141,1934) = HCF(6075,4141) .
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Frequently Asked Questions on HCF of 6075, 4141 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 6075, 4141?
Answer: HCF of 6075, 4141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6075, 4141 using Euclid's Algorithm?
Answer: For arbitrary numbers 6075, 4141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
