Highest Common Factor of 6527, 1822 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 6527, 1822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6527, 1822 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 6527, 1822 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 6527, 1822 is 1.
HCF(6527, 1822) = 1
HCF of 6527, 1822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6527, 1822 is 1.
Highest Common Factor of 6527,1822 is 1
Step 1: Since 6527 > 1822, we apply the division lemma to 6527 and 1822, to get
6527 = 1822 x 3 + 1061
Step 2: Since the reminder 1822 ≠ 0, we apply division lemma to 1061 and 1822, to get
1822 = 1061 x 1 + 761
Step 3: We consider the new divisor 1061 and the new remainder 761, and apply the division lemma to get
1061 = 761 x 1 + 300
We consider the new divisor 761 and the new remainder 300,and apply the division lemma to get
761 = 300 x 2 + 161
We consider the new divisor 300 and the new remainder 161,and apply the division lemma to get
300 = 161 x 1 + 139
We consider the new divisor 161 and the new remainder 139,and apply the division lemma to get
161 = 139 x 1 + 22
We consider the new divisor 139 and the new remainder 22,and apply the division lemma to get
139 = 22 x 6 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6527 and 1822 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(139,22) = HCF(161,139) = HCF(300,161) = HCF(761,300) = HCF(1061,761) = HCF(1822,1061) = HCF(6527,1822) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6527, 1822 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 6527, 1822?
Answer: HCF of 6527, 1822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6527, 1822 using Euclid's Algorithm?
Answer: For arbitrary numbers 6527, 1822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.