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 5683, 7457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5683, 7457 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 5683, 7457 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 5683, 7457 is 1.
HCF(5683, 7457) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5683, 7457 is 1.
Step 1: Since 7457 > 5683, we apply the division lemma to 7457 and 5683, to get
7457 = 5683 x 1 + 1774
Step 2: Since the reminder 5683 ≠ 0, we apply division lemma to 1774 and 5683, to get
5683 = 1774 x 3 + 361
Step 3: We consider the new divisor 1774 and the new remainder 361, and apply the division lemma to get
1774 = 361 x 4 + 330
We consider the new divisor 361 and the new remainder 330,and apply the division lemma to get
361 = 330 x 1 + 31
We consider the new divisor 330 and the new remainder 31,and apply the division lemma to get
330 = 31 x 10 + 20
We consider the new divisor 31 and the new remainder 20,and apply the division lemma to get
31 = 20 x 1 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5683 and 7457 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(31,20) = HCF(330,31) = HCF(361,330) = HCF(1774,361) = HCF(5683,1774) = HCF(7457,5683) .
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 5683, 7457?
Answer: HCF of 5683, 7457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5683, 7457 using Euclid's Algorithm?
Answer: For arbitrary numbers 5683, 7457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.