Highest Common Factor of 1727, 9624 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 1727, 9624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1727, 9624 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 1727, 9624 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 1727, 9624 is 1.
HCF(1727, 9624) = 1
HCF of 1727, 9624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1727, 9624 is 1.
Highest Common Factor of 1727,9624 is 1
Step 1: Since 9624 > 1727, we apply the division lemma to 9624 and 1727, to get
9624 = 1727 x 5 + 989
Step 2: Since the reminder 1727 ≠ 0, we apply division lemma to 989 and 1727, to get
1727 = 989 x 1 + 738
Step 3: We consider the new divisor 989 and the new remainder 738, and apply the division lemma to get
989 = 738 x 1 + 251
We consider the new divisor 738 and the new remainder 251,and apply the division lemma to get
738 = 251 x 2 + 236
We consider the new divisor 251 and the new remainder 236,and apply the division lemma to get
251 = 236 x 1 + 15
We consider the new divisor 236 and the new remainder 15,and apply the division lemma to get
236 = 15 x 15 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1727 and 9624 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(236,15) = HCF(251,236) = HCF(738,251) = HCF(989,738) = HCF(1727,989) = HCF(9624,1727) .
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Frequently Asked Questions on HCF of 1727, 9624 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 1727, 9624?
Answer: HCF of 1727, 9624 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1727, 9624 using Euclid's Algorithm?
Answer: For arbitrary numbers 1727, 9624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.