Highest Common Factor of 1044, 6018 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 1044, 6018 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1044, 6018 is 6 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 1044, 6018 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 1044, 6018 is 6.
HCF(1044, 6018) = 6
HCF of 1044, 6018 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1044, 6018 is 6.
Highest Common Factor of 1044,6018 is 6
Step 1: Since 6018 > 1044, we apply the division lemma to 6018 and 1044, to get
6018 = 1044 x 5 + 798
Step 2: Since the reminder 1044 ≠ 0, we apply division lemma to 798 and 1044, to get
1044 = 798 x 1 + 246
Step 3: We consider the new divisor 798 and the new remainder 246, and apply the division lemma to get
798 = 246 x 3 + 60
We consider the new divisor 246 and the new remainder 60,and apply the division lemma to get
246 = 60 x 4 + 6
We consider the new divisor 60 and the new remainder 6,and apply the division lemma to get
60 = 6 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1044 and 6018 is 6
Notice that 6 = HCF(60,6) = HCF(246,60) = HCF(798,246) = HCF(1044,798) = HCF(6018,1044) .
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Frequently Asked Questions on HCF of 1044, 6018 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 1044, 6018?
Answer: HCF of 1044, 6018 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1044, 6018 using Euclid's Algorithm?
Answer: For arbitrary numbers 1044, 6018 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.