Highest Common Factor of 7254, 8043 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 7254, 8043 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7254, 8043 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 7254, 8043 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 7254, 8043 is 3.
HCF(7254, 8043) = 3
HCF of 7254, 8043 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7254, 8043 is 3.
Highest Common Factor of 7254,8043 is 3
Step 1: Since 8043 > 7254, we apply the division lemma to 8043 and 7254, to get
8043 = 7254 x 1 + 789
Step 2: Since the reminder 7254 ≠ 0, we apply division lemma to 789 and 7254, to get
7254 = 789 x 9 + 153
Step 3: We consider the new divisor 789 and the new remainder 153, and apply the division lemma to get
789 = 153 x 5 + 24
We consider the new divisor 153 and the new remainder 24,and apply the division lemma to get
153 = 24 x 6 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 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 7254 and 8043 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(153,24) = HCF(789,153) = HCF(7254,789) = HCF(8043,7254) .
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Frequently Asked Questions on HCF of 7254, 8043 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 7254, 8043?
Answer: HCF of 7254, 8043 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7254, 8043 using Euclid's Algorithm?
Answer: For arbitrary numbers 7254, 8043 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
