Highest Common Factor of 2853, 6434 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 2853, 6434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2853, 6434 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 2853, 6434 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 2853, 6434 is 1.
HCF(2853, 6434) = 1
HCF of 2853, 6434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2853, 6434 is 1.
Highest Common Factor of 2853,6434 is 1
Step 1: Since 6434 > 2853, we apply the division lemma to 6434 and 2853, to get
6434 = 2853 x 2 + 728
Step 2: Since the reminder 2853 ≠ 0, we apply division lemma to 728 and 2853, to get
2853 = 728 x 3 + 669
Step 3: We consider the new divisor 728 and the new remainder 669, and apply the division lemma to get
728 = 669 x 1 + 59
We consider the new divisor 669 and the new remainder 59,and apply the division lemma to get
669 = 59 x 11 + 20
We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get
59 = 20 x 2 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2853 and 6434 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(669,59) = HCF(728,669) = HCF(2853,728) = HCF(6434,2853) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2853, 6434 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 2853, 6434?
Answer: HCF of 2853, 6434 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2853, 6434 using Euclid's Algorithm?
Answer: For arbitrary numbers 2853, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
