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 5704, 4064 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5704, 4064 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 5704, 4064 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 5704, 4064 is 8.
HCF(5704, 4064) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5704, 4064 is 8.
Step 1: Since 5704 > 4064, we apply the division lemma to 5704 and 4064, to get
5704 = 4064 x 1 + 1640
Step 2: Since the reminder 4064 ≠ 0, we apply division lemma to 1640 and 4064, to get
4064 = 1640 x 2 + 784
Step 3: We consider the new divisor 1640 and the new remainder 784, and apply the division lemma to get
1640 = 784 x 2 + 72
We consider the new divisor 784 and the new remainder 72,and apply the division lemma to get
784 = 72 x 10 + 64
We consider the new divisor 72 and the new remainder 64,and apply the division lemma to get
72 = 64 x 1 + 8
We consider the new divisor 64 and the new remainder 8,and apply the division lemma to get
64 = 8 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5704 and 4064 is 8
Notice that 8 = HCF(64,8) = HCF(72,64) = HCF(784,72) = HCF(1640,784) = HCF(4064,1640) = HCF(5704,4064) .
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 5704, 4064?
Answer: HCF of 5704, 4064 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5704, 4064 using Euclid's Algorithm?
Answer: For arbitrary numbers 5704, 4064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.