Highest Common Factor of 4844, 9428 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 4844, 9428 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4844, 9428 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 4844, 9428 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 4844, 9428 is 4.
HCF(4844, 9428) = 4
HCF of 4844, 9428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4844, 9428 is 4.
Highest Common Factor of 4844,9428 is 4
Step 1: Since 9428 > 4844, we apply the division lemma to 9428 and 4844, to get
9428 = 4844 x 1 + 4584
Step 2: Since the reminder 4844 ≠ 0, we apply division lemma to 4584 and 4844, to get
4844 = 4584 x 1 + 260
Step 3: We consider the new divisor 4584 and the new remainder 260, and apply the division lemma to get
4584 = 260 x 17 + 164
We consider the new divisor 260 and the new remainder 164,and apply the division lemma to get
260 = 164 x 1 + 96
We consider the new divisor 164 and the new remainder 96,and apply the division lemma to get
164 = 96 x 1 + 68
We consider the new divisor 96 and the new remainder 68,and apply the division lemma to get
96 = 68 x 1 + 28
We consider the new divisor 68 and the new remainder 28,and apply the division lemma to get
68 = 28 x 2 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4844 and 9428 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(68,28) = HCF(96,68) = HCF(164,96) = HCF(260,164) = HCF(4584,260) = HCF(4844,4584) = HCF(9428,4844) .
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Frequently Asked Questions on HCF of 4844, 9428 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 4844, 9428?
Answer: HCF of 4844, 9428 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4844, 9428 using Euclid's Algorithm?
Answer: For arbitrary numbers 4844, 9428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.