Highest Common Factor of 1626, 6325 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, 6325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1626, 6325 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 1626, 6325 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, 6325 is 1.
HCF(1626, 6325) = 1
HCF of 1626, 6325 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, 6325 is 1.
Highest Common Factor of 1626,6325 is 1
Step 1: Since 6325 > 1626, we apply the division lemma to 6325 and 1626, to get
6325 = 1626 x 3 + 1447
Step 2: Since the reminder 1626 ≠ 0, we apply division lemma to 1447 and 1626, to get
1626 = 1447 x 1 + 179
Step 3: We consider the new divisor 1447 and the new remainder 179, and apply the division lemma to get
1447 = 179 x 8 + 15
We consider the new divisor 179 and the new remainder 15,and apply the division lemma to get
179 = 15 x 11 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1626 and 6325 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(179,15) = HCF(1447,179) = HCF(1626,1447) = HCF(6325,1626) .
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Frequently Asked Questions on HCF of 1626, 6325 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, 6325?
Answer: HCF of 1626, 6325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1626, 6325 using Euclid's Algorithm?
Answer: For arbitrary numbers 1626, 6325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.