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 4166, 6308 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4166, 6308 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 4166, 6308 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 4166, 6308 is 2.
HCF(4166, 6308) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4166, 6308 is 2.
Step 1: Since 6308 > 4166, we apply the division lemma to 6308 and 4166, to get
6308 = 4166 x 1 + 2142
Step 2: Since the reminder 4166 ≠ 0, we apply division lemma to 2142 and 4166, to get
4166 = 2142 x 1 + 2024
Step 3: We consider the new divisor 2142 and the new remainder 2024, and apply the division lemma to get
2142 = 2024 x 1 + 118
We consider the new divisor 2024 and the new remainder 118,and apply the division lemma to get
2024 = 118 x 17 + 18
We consider the new divisor 118 and the new remainder 18,and apply the division lemma to get
118 = 18 x 6 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 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 4166 and 6308 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(118,18) = HCF(2024,118) = HCF(2142,2024) = HCF(4166,2142) = HCF(6308,4166) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4166, 6308?
Answer: HCF of 4166, 6308 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4166, 6308 using Euclid's Algorithm?
Answer: For arbitrary numbers 4166, 6308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.