Highest Common Factor of 8420, 6627 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 8420, 6627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8420, 6627 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 8420, 6627 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 8420, 6627 is 1.
HCF(8420, 6627) = 1
HCF of 8420, 6627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8420, 6627 is 1.
Highest Common Factor of 8420,6627 is 1
Step 1: Since 8420 > 6627, we apply the division lemma to 8420 and 6627, to get
8420 = 6627 x 1 + 1793
Step 2: Since the reminder 6627 ≠ 0, we apply division lemma to 1793 and 6627, to get
6627 = 1793 x 3 + 1248
Step 3: We consider the new divisor 1793 and the new remainder 1248, and apply the division lemma to get
1793 = 1248 x 1 + 545
We consider the new divisor 1248 and the new remainder 545,and apply the division lemma to get
1248 = 545 x 2 + 158
We consider the new divisor 545 and the new remainder 158,and apply the division lemma to get
545 = 158 x 3 + 71
We consider the new divisor 158 and the new remainder 71,and apply the division lemma to get
158 = 71 x 2 + 16
We consider the new divisor 71 and the new remainder 16,and apply the division lemma to get
71 = 16 x 4 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8420 and 6627 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(71,16) = HCF(158,71) = HCF(545,158) = HCF(1248,545) = HCF(1793,1248) = HCF(6627,1793) = HCF(8420,6627) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8420, 6627 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 8420, 6627?
Answer: HCF of 8420, 6627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8420, 6627 using Euclid's Algorithm?
Answer: For arbitrary numbers 8420, 6627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.