Highest Common Factor of 8044, 4976 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 8044, 4976 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8044, 4976 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 8044, 4976 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 8044, 4976 is 4.
HCF(8044, 4976) = 4
HCF of 8044, 4976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8044, 4976 is 4.
Highest Common Factor of 8044,4976 is 4
Step 1: Since 8044 > 4976, we apply the division lemma to 8044 and 4976, to get
8044 = 4976 x 1 + 3068
Step 2: Since the reminder 4976 ≠ 0, we apply division lemma to 3068 and 4976, to get
4976 = 3068 x 1 + 1908
Step 3: We consider the new divisor 3068 and the new remainder 1908, and apply the division lemma to get
3068 = 1908 x 1 + 1160
We consider the new divisor 1908 and the new remainder 1160,and apply the division lemma to get
1908 = 1160 x 1 + 748
We consider the new divisor 1160 and the new remainder 748,and apply the division lemma to get
1160 = 748 x 1 + 412
We consider the new divisor 748 and the new remainder 412,and apply the division lemma to get
748 = 412 x 1 + 336
We consider the new divisor 412 and the new remainder 336,and apply the division lemma to get
412 = 336 x 1 + 76
We consider the new divisor 336 and the new remainder 76,and apply the division lemma to get
336 = 76 x 4 + 32
We consider the new divisor 76 and the new remainder 32,and apply the division lemma to get
76 = 32 x 2 + 12
We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get
32 = 12 x 2 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 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 8044 and 4976 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(76,32) = HCF(336,76) = HCF(412,336) = HCF(748,412) = HCF(1160,748) = HCF(1908,1160) = HCF(3068,1908) = HCF(4976,3068) = HCF(8044,4976) .
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Frequently Asked Questions on HCF of 8044, 4976 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 8044, 4976?
Answer: HCF of 8044, 4976 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8044, 4976 using Euclid's Algorithm?
Answer: For arbitrary numbers 8044, 4976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.