Highest Common Factor of 2754, 4472 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 2754, 4472 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2754, 4472 is 2 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 2754, 4472 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 2754, 4472 is 2.
HCF(2754, 4472) = 2
HCF of 2754, 4472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2754, 4472 is 2.
Highest Common Factor of 2754,4472 is 2
Step 1: Since 4472 > 2754, we apply the division lemma to 4472 and 2754, to get
4472 = 2754 x 1 + 1718
Step 2: Since the reminder 2754 ≠ 0, we apply division lemma to 1718 and 2754, to get
2754 = 1718 x 1 + 1036
Step 3: We consider the new divisor 1718 and the new remainder 1036, and apply the division lemma to get
1718 = 1036 x 1 + 682
We consider the new divisor 1036 and the new remainder 682,and apply the division lemma to get
1036 = 682 x 1 + 354
We consider the new divisor 682 and the new remainder 354,and apply the division lemma to get
682 = 354 x 1 + 328
We consider the new divisor 354 and the new remainder 328,and apply the division lemma to get
354 = 328 x 1 + 26
We consider the new divisor 328 and the new remainder 26,and apply the division lemma to get
328 = 26 x 12 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2754 and 4472 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(328,26) = HCF(354,328) = HCF(682,354) = HCF(1036,682) = HCF(1718,1036) = HCF(2754,1718) = HCF(4472,2754) .
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Frequently Asked Questions on HCF of 2754, 4472 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 2754, 4472?
Answer: HCF of 2754, 4472 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2754, 4472 using Euclid's Algorithm?
Answer: For arbitrary numbers 2754, 4472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.