Highest Common Factor of 6008, 6644 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 6008, 6644 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6008, 6644 is 4 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 6008, 6644 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 6008, 6644 is 4.
HCF(6008, 6644) = 4
HCF of 6008, 6644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6008, 6644 is 4.
Highest Common Factor of 6008,6644 is 4
Step 1: Since 6644 > 6008, we apply the division lemma to 6644 and 6008, to get
6644 = 6008 x 1 + 636
Step 2: Since the reminder 6008 ≠ 0, we apply division lemma to 636 and 6008, to get
6008 = 636 x 9 + 284
Step 3: We consider the new divisor 636 and the new remainder 284, and apply the division lemma to get
636 = 284 x 2 + 68
We consider the new divisor 284 and the new remainder 68,and apply the division lemma to get
284 = 68 x 4 + 12
We consider the new divisor 68 and the new remainder 12,and apply the division lemma to get
68 = 12 x 5 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6008 and 6644 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(68,12) = HCF(284,68) = HCF(636,284) = HCF(6008,636) = HCF(6644,6008) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6008, 6644 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 6008, 6644?
Answer: HCF of 6008, 6644 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6008, 6644 using Euclid's Algorithm?
Answer: For arbitrary numbers 6008, 6644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.