Highest Common Factor of 6498, 2722 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 6498, 2722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6498, 2722 is 2 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 6498, 2722 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 6498, 2722 is 2.
HCF(6498, 2722) = 2
HCF of 6498, 2722 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6498, 2722 is 2.
Highest Common Factor of 6498,2722 is 2
Step 1: Since 6498 > 2722, we apply the division lemma to 6498 and 2722, to get
6498 = 2722 x 2 + 1054
Step 2: Since the reminder 2722 ≠ 0, we apply division lemma to 1054 and 2722, to get
2722 = 1054 x 2 + 614
Step 3: We consider the new divisor 1054 and the new remainder 614, and apply the division lemma to get
1054 = 614 x 1 + 440
We consider the new divisor 614 and the new remainder 440,and apply the division lemma to get
614 = 440 x 1 + 174
We consider the new divisor 440 and the new remainder 174,and apply the division lemma to get
440 = 174 x 2 + 92
We consider the new divisor 174 and the new remainder 92,and apply the division lemma to get
174 = 92 x 1 + 82
We consider the new divisor 92 and the new remainder 82,and apply the division lemma to get
92 = 82 x 1 + 10
We consider the new divisor 82 and the new remainder 10,and apply the division lemma to get
82 = 10 x 8 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6498 and 2722 is 2
Notice that 2 = HCF(10,2) = HCF(82,10) = HCF(92,82) = HCF(174,92) = HCF(440,174) = HCF(614,440) = HCF(1054,614) = HCF(2722,1054) = HCF(6498,2722) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6498, 2722 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 6498, 2722?
Answer: HCF of 6498, 2722 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6498, 2722 using Euclid's Algorithm?
Answer: For arbitrary numbers 6498, 2722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.