Highest Common Factor of 8145, 5394 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 8145, 5394 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8145, 5394 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 8145, 5394 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 8145, 5394 is 3.
HCF(8145, 5394) = 3
HCF of 8145, 5394 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8145, 5394 is 3.
Highest Common Factor of 8145,5394 is 3
Step 1: Since 8145 > 5394, we apply the division lemma to 8145 and 5394, to get
8145 = 5394 x 1 + 2751
Step 2: Since the reminder 5394 ≠ 0, we apply division lemma to 2751 and 5394, to get
5394 = 2751 x 1 + 2643
Step 3: We consider the new divisor 2751 and the new remainder 2643, and apply the division lemma to get
2751 = 2643 x 1 + 108
We consider the new divisor 2643 and the new remainder 108,and apply the division lemma to get
2643 = 108 x 24 + 51
We consider the new divisor 108 and the new remainder 51,and apply the division lemma to get
108 = 51 x 2 + 6
We consider the new divisor 51 and the new remainder 6,and apply the division lemma to get
51 = 6 x 8 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8145 and 5394 is 3
Notice that 3 = HCF(6,3) = HCF(51,6) = HCF(108,51) = HCF(2643,108) = HCF(2751,2643) = HCF(5394,2751) = HCF(8145,5394) .
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Frequently Asked Questions on HCF of 8145, 5394 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 8145, 5394?
Answer: HCF of 8145, 5394 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8145, 5394 using Euclid's Algorithm?
Answer: For arbitrary numbers 8145, 5394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.