Highest Common Factor of 5151, 9423 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 5151, 9423 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5151, 9423 is 3 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 5151, 9423 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 5151, 9423 is 3.
HCF(5151, 9423) = 3
HCF of 5151, 9423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5151, 9423 is 3.
Highest Common Factor of 5151,9423 is 3
Step 1: Since 9423 > 5151, we apply the division lemma to 9423 and 5151, to get
9423 = 5151 x 1 + 4272
Step 2: Since the reminder 5151 ≠ 0, we apply division lemma to 4272 and 5151, to get
5151 = 4272 x 1 + 879
Step 3: We consider the new divisor 4272 and the new remainder 879, and apply the division lemma to get
4272 = 879 x 4 + 756
We consider the new divisor 879 and the new remainder 756,and apply the division lemma to get
879 = 756 x 1 + 123
We consider the new divisor 756 and the new remainder 123,and apply the division lemma to get
756 = 123 x 6 + 18
We consider the new divisor 123 and the new remainder 18,and apply the division lemma to get
123 = 18 x 6 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5151 and 9423 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(123,18) = HCF(756,123) = HCF(879,756) = HCF(4272,879) = HCF(5151,4272) = HCF(9423,5151) .
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Frequently Asked Questions on HCF of 5151, 9423 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 5151, 9423?
Answer: HCF of 5151, 9423 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5151, 9423 using Euclid's Algorithm?
Answer: For arbitrary numbers 5151, 9423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
