Highest Common Factor of 4274, 2678 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 4274, 2678 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4274, 2678 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 4274, 2678 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 4274, 2678 is 2.
HCF(4274, 2678) = 2
HCF of 4274, 2678 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4274, 2678 is 2.
Highest Common Factor of 4274,2678 is 2
Step 1: Since 4274 > 2678, we apply the division lemma to 4274 and 2678, to get
4274 = 2678 x 1 + 1596
Step 2: Since the reminder 2678 ≠ 0, we apply division lemma to 1596 and 2678, to get
2678 = 1596 x 1 + 1082
Step 3: We consider the new divisor 1596 and the new remainder 1082, and apply the division lemma to get
1596 = 1082 x 1 + 514
We consider the new divisor 1082 and the new remainder 514,and apply the division lemma to get
1082 = 514 x 2 + 54
We consider the new divisor 514 and the new remainder 54,and apply the division lemma to get
514 = 54 x 9 + 28
We consider the new divisor 54 and the new remainder 28,and apply the division lemma to get
54 = 28 x 1 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4274 and 2678 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(54,28) = HCF(514,54) = HCF(1082,514) = HCF(1596,1082) = HCF(2678,1596) = HCF(4274,2678) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4274, 2678 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 4274, 2678?
Answer: HCF of 4274, 2678 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4274, 2678 using Euclid's Algorithm?
Answer: For arbitrary numbers 4274, 2678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.