Highest Common Factor of 4254, 4340 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 4254, 4340 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4254, 4340 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 4254, 4340 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 4254, 4340 is 2.
HCF(4254, 4340) = 2
HCF of 4254, 4340 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4254, 4340 is 2.
Highest Common Factor of 4254,4340 is 2
Step 1: Since 4340 > 4254, we apply the division lemma to 4340 and 4254, to get
4340 = 4254 x 1 + 86
Step 2: Since the reminder 4254 ≠ 0, we apply division lemma to 86 and 4254, to get
4254 = 86 x 49 + 40
Step 3: We consider the new divisor 86 and the new remainder 40, and apply the division lemma to get
86 = 40 x 2 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4254 and 4340 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(86,40) = HCF(4254,86) = HCF(4340,4254) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4254, 4340 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 4254, 4340?
Answer: HCF of 4254, 4340 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4254, 4340 using Euclid's Algorithm?
Answer: For arbitrary numbers 4254, 4340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.