Highest Common Factor of 4008, 6928 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 4008, 6928 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4008, 6928 is 8 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 4008, 6928 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 4008, 6928 is 8.
HCF(4008, 6928) = 8
HCF of 4008, 6928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4008, 6928 is 8.
Highest Common Factor of 4008,6928 is 8
Step 1: Since 6928 > 4008, we apply the division lemma to 6928 and 4008, to get
6928 = 4008 x 1 + 2920
Step 2: Since the reminder 4008 ≠ 0, we apply division lemma to 2920 and 4008, to get
4008 = 2920 x 1 + 1088
Step 3: We consider the new divisor 2920 and the new remainder 1088, and apply the division lemma to get
2920 = 1088 x 2 + 744
We consider the new divisor 1088 and the new remainder 744,and apply the division lemma to get
1088 = 744 x 1 + 344
We consider the new divisor 744 and the new remainder 344,and apply the division lemma to get
744 = 344 x 2 + 56
We consider the new divisor 344 and the new remainder 56,and apply the division lemma to get
344 = 56 x 6 + 8
We consider the new divisor 56 and the new remainder 8,and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4008 and 6928 is 8
Notice that 8 = HCF(56,8) = HCF(344,56) = HCF(744,344) = HCF(1088,744) = HCF(2920,1088) = HCF(4008,2920) = HCF(6928,4008) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4008, 6928 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 4008, 6928?
Answer: HCF of 4008, 6928 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4008, 6928 using Euclid's Algorithm?
Answer: For arbitrary numbers 4008, 6928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.