Highest Common Factor of 6571, 6801 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 6571, 6801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6571, 6801 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 6571, 6801 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 6571, 6801 is 1.
HCF(6571, 6801) = 1
HCF of 6571, 6801 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6571, 6801 is 1.
Highest Common Factor of 6571,6801 is 1
Step 1: Since 6801 > 6571, we apply the division lemma to 6801 and 6571, to get
6801 = 6571 x 1 + 230
Step 2: Since the reminder 6571 ≠ 0, we apply division lemma to 230 and 6571, to get
6571 = 230 x 28 + 131
Step 3: We consider the new divisor 230 and the new remainder 131, and apply the division lemma to get
230 = 131 x 1 + 99
We consider the new divisor 131 and the new remainder 99,and apply the division lemma to get
131 = 99 x 1 + 32
We consider the new divisor 99 and the new remainder 32,and apply the division lemma to get
99 = 32 x 3 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6571 and 6801 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(99,32) = HCF(131,99) = HCF(230,131) = HCF(6571,230) = HCF(6801,6571) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6571, 6801 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 6571, 6801?
Answer: HCF of 6571, 6801 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6571, 6801 using Euclid's Algorithm?
Answer: For arbitrary numbers 6571, 6801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.