Highest Common Factor of 1294, 4162 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 1294, 4162 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1294, 4162 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 1294, 4162 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 1294, 4162 is 2.
HCF(1294, 4162) = 2
HCF of 1294, 4162 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1294, 4162 is 2.
Highest Common Factor of 1294,4162 is 2
Step 1: Since 4162 > 1294, we apply the division lemma to 4162 and 1294, to get
4162 = 1294 x 3 + 280
Step 2: Since the reminder 1294 ≠ 0, we apply division lemma to 280 and 1294, to get
1294 = 280 x 4 + 174
Step 3: We consider the new divisor 280 and the new remainder 174, and apply the division lemma to get
280 = 174 x 1 + 106
We consider the new divisor 174 and the new remainder 106,and apply the division lemma to get
174 = 106 x 1 + 68
We consider the new divisor 106 and the new remainder 68,and apply the division lemma to get
106 = 68 x 1 + 38
We consider the new divisor 68 and the new remainder 38,and apply the division lemma to get
68 = 38 x 1 + 30
We consider the new divisor 38 and the new remainder 30,and apply the division lemma to get
38 = 30 x 1 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1294 and 4162 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(38,30) = HCF(68,38) = HCF(106,68) = HCF(174,106) = HCF(280,174) = HCF(1294,280) = HCF(4162,1294) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1294, 4162 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 1294, 4162?
Answer: HCF of 1294, 4162 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1294, 4162 using Euclid's Algorithm?
Answer: For arbitrary numbers 1294, 4162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.