Highest Common Factor of 1488, 4014 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 1488, 4014 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1488, 4014 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 1488, 4014 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 1488, 4014 is 6.
HCF(1488, 4014) = 6
HCF of 1488, 4014 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1488, 4014 is 6.
Highest Common Factor of 1488,4014 is 6
Step 1: Since 4014 > 1488, we apply the division lemma to 4014 and 1488, to get
4014 = 1488 x 2 + 1038
Step 2: Since the reminder 1488 ≠ 0, we apply division lemma to 1038 and 1488, to get
1488 = 1038 x 1 + 450
Step 3: We consider the new divisor 1038 and the new remainder 450, and apply the division lemma to get
1038 = 450 x 2 + 138
We consider the new divisor 450 and the new remainder 138,and apply the division lemma to get
450 = 138 x 3 + 36
We consider the new divisor 138 and the new remainder 36,and apply the division lemma to get
138 = 36 x 3 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1488 and 4014 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(138,36) = HCF(450,138) = HCF(1038,450) = HCF(1488,1038) = HCF(4014,1488) .
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Frequently Asked Questions on HCF of 1488, 4014 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 1488, 4014?
Answer: HCF of 1488, 4014 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1488, 4014 using Euclid's Algorithm?
Answer: For arbitrary numbers 1488, 4014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.