Highest Common Factor of 6465, 2841 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 6465, 2841 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6465, 2841 is 3 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 6465, 2841 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 6465, 2841 is 3.
HCF(6465, 2841) = 3
HCF of 6465, 2841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6465, 2841 is 3.
Highest Common Factor of 6465,2841 is 3
Step 1: Since 6465 > 2841, we apply the division lemma to 6465 and 2841, to get
6465 = 2841 x 2 + 783
Step 2: Since the reminder 2841 ≠ 0, we apply division lemma to 783 and 2841, to get
2841 = 783 x 3 + 492
Step 3: We consider the new divisor 783 and the new remainder 492, and apply the division lemma to get
783 = 492 x 1 + 291
We consider the new divisor 492 and the new remainder 291,and apply the division lemma to get
492 = 291 x 1 + 201
We consider the new divisor 291 and the new remainder 201,and apply the division lemma to get
291 = 201 x 1 + 90
We consider the new divisor 201 and the new remainder 90,and apply the division lemma to get
201 = 90 x 2 + 21
We consider the new divisor 90 and the new remainder 21,and apply the division lemma to get
90 = 21 x 4 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6465 and 2841 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(90,21) = HCF(201,90) = HCF(291,201) = HCF(492,291) = HCF(783,492) = HCF(2841,783) = HCF(6465,2841) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6465, 2841 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 6465, 2841?
Answer: HCF of 6465, 2841 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6465, 2841 using Euclid's Algorithm?
Answer: For arbitrary numbers 6465, 2841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.