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 6113, 1443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6113, 1443 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 6113, 1443 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 6113, 1443 is 1.
HCF(6113, 1443) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6113, 1443 is 1.
Step 1: Since 6113 > 1443, we apply the division lemma to 6113 and 1443, to get
6113 = 1443 x 4 + 341
Step 2: Since the reminder 1443 ≠ 0, we apply division lemma to 341 and 1443, to get
1443 = 341 x 4 + 79
Step 3: We consider the new divisor 341 and the new remainder 79, and apply the division lemma to get
341 = 79 x 4 + 25
We consider the new divisor 79 and the new remainder 25,and apply the division lemma to get
79 = 25 x 3 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6113 and 1443 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(79,25) = HCF(341,79) = HCF(1443,341) = HCF(6113,1443) .
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 6113, 1443?
Answer: HCF of 6113, 1443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6113, 1443 using Euclid's Algorithm?
Answer: For arbitrary numbers 6113, 1443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.