Highest Common Factor of 8097, 6257 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 8097, 6257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8097, 6257 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 8097, 6257 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 8097, 6257 is 1.
HCF(8097, 6257) = 1
HCF of 8097, 6257 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8097, 6257 is 1.
Highest Common Factor of 8097,6257 is 1
Step 1: Since 8097 > 6257, we apply the division lemma to 8097 and 6257, to get
8097 = 6257 x 1 + 1840
Step 2: Since the reminder 6257 ≠ 0, we apply division lemma to 1840 and 6257, to get
6257 = 1840 x 3 + 737
Step 3: We consider the new divisor 1840 and the new remainder 737, and apply the division lemma to get
1840 = 737 x 2 + 366
We consider the new divisor 737 and the new remainder 366,and apply the division lemma to get
737 = 366 x 2 + 5
We consider the new divisor 366 and the new remainder 5,and apply the division lemma to get
366 = 5 x 73 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8097 and 6257 is 1
Notice that 1 = HCF(5,1) = HCF(366,5) = HCF(737,366) = HCF(1840,737) = HCF(6257,1840) = HCF(8097,6257) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8097, 6257 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 8097, 6257?
Answer: HCF of 8097, 6257 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8097, 6257 using Euclid's Algorithm?
Answer: For arbitrary numbers 8097, 6257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
