Highest Common Factor of 1626, 3012 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 1626, 3012 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1626, 3012 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 1626, 3012 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 1626, 3012 is 6.
HCF(1626, 3012) = 6
HCF of 1626, 3012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1626, 3012 is 6.
Highest Common Factor of 1626,3012 is 6
Step 1: Since 3012 > 1626, we apply the division lemma to 3012 and 1626, to get
3012 = 1626 x 1 + 1386
Step 2: Since the reminder 1626 ≠ 0, we apply division lemma to 1386 and 1626, to get
1626 = 1386 x 1 + 240
Step 3: We consider the new divisor 1386 and the new remainder 240, and apply the division lemma to get
1386 = 240 x 5 + 186
We consider the new divisor 240 and the new remainder 186,and apply the division lemma to get
240 = 186 x 1 + 54
We consider the new divisor 186 and the new remainder 54,and apply the division lemma to get
186 = 54 x 3 + 24
We consider the new divisor 54 and the new remainder 24,and apply the division lemma to get
54 = 24 x 2 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1626 and 3012 is 6
Notice that 6 = HCF(24,6) = HCF(54,24) = HCF(186,54) = HCF(240,186) = HCF(1386,240) = HCF(1626,1386) = HCF(3012,1626) .
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Frequently Asked Questions on HCF of 1626, 3012 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 1626, 3012?
Answer: HCF of 1626, 3012 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1626, 3012 using Euclid's Algorithm?
Answer: For arbitrary numbers 1626, 3012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
