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 8243, 5788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8243, 5788 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 8243, 5788 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 8243, 5788 is 1.
HCF(8243, 5788) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8243, 5788 is 1.
Step 1: Since 8243 > 5788, we apply the division lemma to 8243 and 5788, to get
8243 = 5788 x 1 + 2455
Step 2: Since the reminder 5788 ≠ 0, we apply division lemma to 2455 and 5788, to get
5788 = 2455 x 2 + 878
Step 3: We consider the new divisor 2455 and the new remainder 878, and apply the division lemma to get
2455 = 878 x 2 + 699
We consider the new divisor 878 and the new remainder 699,and apply the division lemma to get
878 = 699 x 1 + 179
We consider the new divisor 699 and the new remainder 179,and apply the division lemma to get
699 = 179 x 3 + 162
We consider the new divisor 179 and the new remainder 162,and apply the division lemma to get
179 = 162 x 1 + 17
We consider the new divisor 162 and the new remainder 17,and apply the division lemma to get
162 = 17 x 9 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8243 and 5788 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(162,17) = HCF(179,162) = HCF(699,179) = HCF(878,699) = HCF(2455,878) = HCF(5788,2455) = HCF(8243,5788) .
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 8243, 5788?
Answer: HCF of 8243, 5788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8243, 5788 using Euclid's Algorithm?
Answer: For arbitrary numbers 8243, 5788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.