Highest Common Factor of 3044, 8896 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 3044, 8896 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3044, 8896 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 3044, 8896 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 3044, 8896 is 4.
HCF(3044, 8896) = 4
HCF of 3044, 8896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3044, 8896 is 4.
Highest Common Factor of 3044,8896 is 4
Step 1: Since 8896 > 3044, we apply the division lemma to 8896 and 3044, to get
8896 = 3044 x 2 + 2808
Step 2: Since the reminder 3044 ≠ 0, we apply division lemma to 2808 and 3044, to get
3044 = 2808 x 1 + 236
Step 3: We consider the new divisor 2808 and the new remainder 236, and apply the division lemma to get
2808 = 236 x 11 + 212
We consider the new divisor 236 and the new remainder 212,and apply the division lemma to get
236 = 212 x 1 + 24
We consider the new divisor 212 and the new remainder 24,and apply the division lemma to get
212 = 24 x 8 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3044 and 8896 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(212,24) = HCF(236,212) = HCF(2808,236) = HCF(3044,2808) = HCF(8896,3044) .
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Frequently Asked Questions on HCF of 3044, 8896 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 3044, 8896?
Answer: HCF of 3044, 8896 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3044, 8896 using Euclid's Algorithm?
Answer: For arbitrary numbers 3044, 8896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.