Highest Common Factor of 1544, 4052 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 1544, 4052 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1544, 4052 is 4 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 1544, 4052 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 1544, 4052 is 4.
HCF(1544, 4052) = 4
HCF of 1544, 4052 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1544, 4052 is 4.
Highest Common Factor of 1544,4052 is 4
Step 1: Since 4052 > 1544, we apply the division lemma to 4052 and 1544, to get
4052 = 1544 x 2 + 964
Step 2: Since the reminder 1544 ≠ 0, we apply division lemma to 964 and 1544, to get
1544 = 964 x 1 + 580
Step 3: We consider the new divisor 964 and the new remainder 580, and apply the division lemma to get
964 = 580 x 1 + 384
We consider the new divisor 580 and the new remainder 384,and apply the division lemma to get
580 = 384 x 1 + 196
We consider the new divisor 384 and the new remainder 196,and apply the division lemma to get
384 = 196 x 1 + 188
We consider the new divisor 196 and the new remainder 188,and apply the division lemma to get
196 = 188 x 1 + 8
We consider the new divisor 188 and the new remainder 8,and apply the division lemma to get
188 = 8 x 23 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1544 and 4052 is 4
Notice that 4 = HCF(8,4) = HCF(188,8) = HCF(196,188) = HCF(384,196) = HCF(580,384) = HCF(964,580) = HCF(1544,964) = HCF(4052,1544) .
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Frequently Asked Questions on HCF of 1544, 4052 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 1544, 4052?
Answer: HCF of 1544, 4052 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1544, 4052 using Euclid's Algorithm?
Answer: For arbitrary numbers 1544, 4052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.