Highest Common Factor of 2754, 3788 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, 3788 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2754, 3788 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, 3788 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, 3788 is 2.
HCF(2754, 3788) = 2
HCF of 2754, 3788 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, 3788 is 2.
Highest Common Factor of 2754,3788 is 2
Step 1: Since 3788 > 2754, we apply the division lemma to 3788 and 2754, to get
3788 = 2754 x 1 + 1034
Step 2: Since the reminder 2754 ≠ 0, we apply division lemma to 1034 and 2754, to get
2754 = 1034 x 2 + 686
Step 3: We consider the new divisor 1034 and the new remainder 686, and apply the division lemma to get
1034 = 686 x 1 + 348
We consider the new divisor 686 and the new remainder 348,and apply the division lemma to get
686 = 348 x 1 + 338
We consider the new divisor 348 and the new remainder 338,and apply the division lemma to get
348 = 338 x 1 + 10
We consider the new divisor 338 and the new remainder 10,and apply the division lemma to get
338 = 10 x 33 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2754 and 3788 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(338,10) = HCF(348,338) = HCF(686,348) = HCF(1034,686) = HCF(2754,1034) = HCF(3788,2754) .
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Frequently Asked Questions on HCF of 2754, 3788 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, 3788?
Answer: HCF of 2754, 3788 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2754, 3788 using Euclid's Algorithm?
Answer: For arbitrary numbers 2754, 3788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.