Highest Common Factor of 3146, 2846 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 3146, 2846 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3146, 2846 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 3146, 2846 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 3146, 2846 is 2.
HCF(3146, 2846) = 2
HCF of 3146, 2846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3146, 2846 is 2.
Highest Common Factor of 3146,2846 is 2
Step 1: Since 3146 > 2846, we apply the division lemma to 3146 and 2846, to get
3146 = 2846 x 1 + 300
Step 2: Since the reminder 2846 ≠ 0, we apply division lemma to 300 and 2846, to get
2846 = 300 x 9 + 146
Step 3: We consider the new divisor 300 and the new remainder 146, and apply the division lemma to get
300 = 146 x 2 + 8
We consider the new divisor 146 and the new remainder 8,and apply the division lemma to get
146 = 8 x 18 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3146 and 2846 is 2
Notice that 2 = HCF(8,2) = HCF(146,8) = HCF(300,146) = HCF(2846,300) = HCF(3146,2846) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3146, 2846 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 3146, 2846?
Answer: HCF of 3146, 2846 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3146, 2846 using Euclid's Algorithm?
Answer: For arbitrary numbers 3146, 2846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.