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 7243, 5103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7243, 5103 is 1 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 7243, 5103 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 7243, 5103 is 1.
HCF(7243, 5103) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7243, 5103 is 1.
Step 1: Since 7243 > 5103, we apply the division lemma to 7243 and 5103, to get
7243 = 5103 x 1 + 2140
Step 2: Since the reminder 5103 ≠ 0, we apply division lemma to 2140 and 5103, to get
5103 = 2140 x 2 + 823
Step 3: We consider the new divisor 2140 and the new remainder 823, and apply the division lemma to get
2140 = 823 x 2 + 494
We consider the new divisor 823 and the new remainder 494,and apply the division lemma to get
823 = 494 x 1 + 329
We consider the new divisor 494 and the new remainder 329,and apply the division lemma to get
494 = 329 x 1 + 165
We consider the new divisor 329 and the new remainder 165,and apply the division lemma to get
329 = 165 x 1 + 164
We consider the new divisor 165 and the new remainder 164,and apply the division lemma to get
165 = 164 x 1 + 1
We consider the new divisor 164 and the new remainder 1,and apply the division lemma to get
164 = 1 x 164 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7243 and 5103 is 1
Notice that 1 = HCF(164,1) = HCF(165,164) = HCF(329,165) = HCF(494,329) = HCF(823,494) = HCF(2140,823) = HCF(5103,2140) = HCF(7243,5103) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7243, 5103?
Answer: HCF of 7243, 5103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7243, 5103 using Euclid's Algorithm?
Answer: For arbitrary numbers 7243, 5103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.