Highest Common Factor of 7457, 8037 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 7457, 8037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7457, 8037 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 7457, 8037 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 7457, 8037 is 1.
HCF(7457, 8037) = 1
HCF of 7457, 8037 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7457, 8037 is 1.
Highest Common Factor of 7457,8037 is 1
Step 1: Since 8037 > 7457, we apply the division lemma to 8037 and 7457, to get
8037 = 7457 x 1 + 580
Step 2: Since the reminder 7457 ≠ 0, we apply division lemma to 580 and 7457, to get
7457 = 580 x 12 + 497
Step 3: We consider the new divisor 580 and the new remainder 497, and apply the division lemma to get
580 = 497 x 1 + 83
We consider the new divisor 497 and the new remainder 83,and apply the division lemma to get
497 = 83 x 5 + 82
We consider the new divisor 83 and the new remainder 82,and apply the division lemma to get
83 = 82 x 1 + 1
We consider the new divisor 82 and the new remainder 1,and apply the division lemma to get
82 = 1 x 82 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7457 and 8037 is 1
Notice that 1 = HCF(82,1) = HCF(83,82) = HCF(497,83) = HCF(580,497) = HCF(7457,580) = HCF(8037,7457) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7457, 8037 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 7457, 8037?
Answer: HCF of 7457, 8037 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7457, 8037 using Euclid's Algorithm?
Answer: For arbitrary numbers 7457, 8037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.