Highest Common Factor of 3420, 2798 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 3420, 2798 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3420, 2798 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 3420, 2798 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 3420, 2798 is 2.
HCF(3420, 2798) = 2
HCF of 3420, 2798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3420, 2798 is 2.
Highest Common Factor of 3420,2798 is 2
Step 1: Since 3420 > 2798, we apply the division lemma to 3420 and 2798, to get
3420 = 2798 x 1 + 622
Step 2: Since the reminder 2798 ≠ 0, we apply division lemma to 622 and 2798, to get
2798 = 622 x 4 + 310
Step 3: We consider the new divisor 622 and the new remainder 310, and apply the division lemma to get
622 = 310 x 2 + 2
We consider the new divisor 310 and the new remainder 2, and apply the division lemma to get
310 = 2 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3420 and 2798 is 2
Notice that 2 = HCF(310,2) = HCF(622,310) = HCF(2798,622) = HCF(3420,2798) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3420, 2798 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 3420, 2798?
Answer: HCF of 3420, 2798 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3420, 2798 using Euclid's Algorithm?
Answer: For arbitrary numbers 3420, 2798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
