Highest Common Factor of 5128, 9954 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 5128, 9954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5128, 9954 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 5128, 9954 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 5128, 9954 is 2.
HCF(5128, 9954) = 2
HCF of 5128, 9954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5128, 9954 is 2.
Highest Common Factor of 5128,9954 is 2
Step 1: Since 9954 > 5128, we apply the division lemma to 9954 and 5128, to get
9954 = 5128 x 1 + 4826
Step 2: Since the reminder 5128 ≠ 0, we apply division lemma to 4826 and 5128, to get
5128 = 4826 x 1 + 302
Step 3: We consider the new divisor 4826 and the new remainder 302, and apply the division lemma to get
4826 = 302 x 15 + 296
We consider the new divisor 302 and the new remainder 296,and apply the division lemma to get
302 = 296 x 1 + 6
We consider the new divisor 296 and the new remainder 6,and apply the division lemma to get
296 = 6 x 49 + 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 5128 and 9954 is 2
Notice that 2 = HCF(6,2) = HCF(296,6) = HCF(302,296) = HCF(4826,302) = HCF(5128,4826) = HCF(9954,5128) .
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Frequently Asked Questions on HCF of 5128, 9954 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 5128, 9954?
Answer: HCF of 5128, 9954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5128, 9954 using Euclid's Algorithm?
Answer: For arbitrary numbers 5128, 9954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.