Highest Common Factor of 2544, 3969 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 2544, 3969 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2544, 3969 is 3 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 2544, 3969 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 2544, 3969 is 3.
HCF(2544, 3969) = 3
HCF of 2544, 3969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2544, 3969 is 3.
Highest Common Factor of 2544,3969 is 3
Step 1: Since 3969 > 2544, we apply the division lemma to 3969 and 2544, to get
3969 = 2544 x 1 + 1425
Step 2: Since the reminder 2544 ≠ 0, we apply division lemma to 1425 and 2544, to get
2544 = 1425 x 1 + 1119
Step 3: We consider the new divisor 1425 and the new remainder 1119, and apply the division lemma to get
1425 = 1119 x 1 + 306
We consider the new divisor 1119 and the new remainder 306,and apply the division lemma to get
1119 = 306 x 3 + 201
We consider the new divisor 306 and the new remainder 201,and apply the division lemma to get
306 = 201 x 1 + 105
We consider the new divisor 201 and the new remainder 105,and apply the division lemma to get
201 = 105 x 1 + 96
We consider the new divisor 105 and the new remainder 96,and apply the division lemma to get
105 = 96 x 1 + 9
We consider the new divisor 96 and the new remainder 9,and apply the division lemma to get
96 = 9 x 10 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2544 and 3969 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(96,9) = HCF(105,96) = HCF(201,105) = HCF(306,201) = HCF(1119,306) = HCF(1425,1119) = HCF(2544,1425) = HCF(3969,2544) .
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Frequently Asked Questions on HCF of 2544, 3969 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 2544, 3969?
Answer: HCF of 2544, 3969 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2544, 3969 using Euclid's Algorithm?
Answer: For arbitrary numbers 2544, 3969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.