Highest Common Factor of 6747, 2822 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 6747, 2822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6747, 2822 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 6747, 2822 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 6747, 2822 is 1.
HCF(6747, 2822) = 1
HCF of 6747, 2822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6747, 2822 is 1.
Highest Common Factor of 6747,2822 is 1
Step 1: Since 6747 > 2822, we apply the division lemma to 6747 and 2822, to get
6747 = 2822 x 2 + 1103
Step 2: Since the reminder 2822 ≠ 0, we apply division lemma to 1103 and 2822, to get
2822 = 1103 x 2 + 616
Step 3: We consider the new divisor 1103 and the new remainder 616, and apply the division lemma to get
1103 = 616 x 1 + 487
We consider the new divisor 616 and the new remainder 487,and apply the division lemma to get
616 = 487 x 1 + 129
We consider the new divisor 487 and the new remainder 129,and apply the division lemma to get
487 = 129 x 3 + 100
We consider the new divisor 129 and the new remainder 100,and apply the division lemma to get
129 = 100 x 1 + 29
We consider the new divisor 100 and the new remainder 29,and apply the division lemma to get
100 = 29 x 3 + 13
We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6747 and 2822 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(100,29) = HCF(129,100) = HCF(487,129) = HCF(616,487) = HCF(1103,616) = HCF(2822,1103) = HCF(6747,2822) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6747, 2822 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 6747, 2822?
Answer: HCF of 6747, 2822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6747, 2822 using Euclid's Algorithm?
Answer: For arbitrary numbers 6747, 2822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
