Highest Common Factor of 5154, 9984 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 5154, 9984 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5154, 9984 is 6 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 5154, 9984 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 5154, 9984 is 6.
HCF(5154, 9984) = 6
HCF of 5154, 9984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5154, 9984 is 6.
Highest Common Factor of 5154,9984 is 6
Step 1: Since 9984 > 5154, we apply the division lemma to 9984 and 5154, to get
9984 = 5154 x 1 + 4830
Step 2: Since the reminder 5154 ≠ 0, we apply division lemma to 4830 and 5154, to get
5154 = 4830 x 1 + 324
Step 3: We consider the new divisor 4830 and the new remainder 324, and apply the division lemma to get
4830 = 324 x 14 + 294
We consider the new divisor 324 and the new remainder 294,and apply the division lemma to get
324 = 294 x 1 + 30
We consider the new divisor 294 and the new remainder 30,and apply the division lemma to get
294 = 30 x 9 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5154 and 9984 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(294,30) = HCF(324,294) = HCF(4830,324) = HCF(5154,4830) = HCF(9984,5154) .
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Frequently Asked Questions on HCF of 5154, 9984 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 5154, 9984?
Answer: HCF of 5154, 9984 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5154, 9984 using Euclid's Algorithm?
Answer: For arbitrary numbers 5154, 9984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.