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 6014, 4271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6014, 4271 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 6014, 4271 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 6014, 4271 is 1.
HCF(6014, 4271) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6014, 4271 is 1.
Step 1: Since 6014 > 4271, we apply the division lemma to 6014 and 4271, to get
6014 = 4271 x 1 + 1743
Step 2: Since the reminder 4271 ≠ 0, we apply division lemma to 1743 and 4271, to get
4271 = 1743 x 2 + 785
Step 3: We consider the new divisor 1743 and the new remainder 785, and apply the division lemma to get
1743 = 785 x 2 + 173
We consider the new divisor 785 and the new remainder 173,and apply the division lemma to get
785 = 173 x 4 + 93
We consider the new divisor 173 and the new remainder 93,and apply the division lemma to get
173 = 93 x 1 + 80
We consider the new divisor 93 and the new remainder 80,and apply the division lemma to get
93 = 80 x 1 + 13
We consider the new divisor 80 and the new remainder 13,and apply the division lemma to get
80 = 13 x 6 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 6014 and 4271 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(80,13) = HCF(93,80) = HCF(173,93) = HCF(785,173) = HCF(1743,785) = HCF(4271,1743) = HCF(6014,4271) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6014, 4271?
Answer: HCF of 6014, 4271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6014, 4271 using Euclid's Algorithm?
Answer: For arbitrary numbers 6014, 4271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.