Highest Common Factor of 4442, 9928 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 4442, 9928 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4442, 9928 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 4442, 9928 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 4442, 9928 is 2.
HCF(4442, 9928) = 2
HCF of 4442, 9928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4442, 9928 is 2.
Highest Common Factor of 4442,9928 is 2
Step 1: Since 9928 > 4442, we apply the division lemma to 9928 and 4442, to get
9928 = 4442 x 2 + 1044
Step 2: Since the reminder 4442 ≠ 0, we apply division lemma to 1044 and 4442, to get
4442 = 1044 x 4 + 266
Step 3: We consider the new divisor 1044 and the new remainder 266, and apply the division lemma to get
1044 = 266 x 3 + 246
We consider the new divisor 266 and the new remainder 246,and apply the division lemma to get
266 = 246 x 1 + 20
We consider the new divisor 246 and the new remainder 20,and apply the division lemma to get
246 = 20 x 12 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4442 and 9928 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(246,20) = HCF(266,246) = HCF(1044,266) = HCF(4442,1044) = HCF(9928,4442) .
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Frequently Asked Questions on HCF of 4442, 9928 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 4442, 9928?
Answer: HCF of 4442, 9928 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4442, 9928 using Euclid's Algorithm?
Answer: For arbitrary numbers 4442, 9928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.