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 538, 5183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 538, 5183 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 538, 5183 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 538, 5183 is 1.
HCF(538, 5183) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 538, 5183 is 1.
Step 1: Since 5183 > 538, we apply the division lemma to 5183 and 538, to get
5183 = 538 x 9 + 341
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 341 and 538, to get
538 = 341 x 1 + 197
Step 3: We consider the new divisor 341 and the new remainder 197, and apply the division lemma to get
341 = 197 x 1 + 144
We consider the new divisor 197 and the new remainder 144,and apply the division lemma to get
197 = 144 x 1 + 53
We consider the new divisor 144 and the new remainder 53,and apply the division lemma to get
144 = 53 x 2 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 538 and 5183 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(144,53) = HCF(197,144) = HCF(341,197) = HCF(538,341) = HCF(5183,538) .
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 538, 5183?
Answer: HCF of 538, 5183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 538, 5183 using Euclid's Algorithm?
Answer: For arbitrary numbers 538, 5183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.