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 4064, 4305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4064, 4305 is 1 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 4064, 4305 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 4064, 4305 is 1.
HCF(4064, 4305) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4064, 4305 is 1.
Step 1: Since 4305 > 4064, we apply the division lemma to 4305 and 4064, to get
4305 = 4064 x 1 + 241
Step 2: Since the reminder 4064 ≠ 0, we apply division lemma to 241 and 4064, to get
4064 = 241 x 16 + 208
Step 3: We consider the new divisor 241 and the new remainder 208, and apply the division lemma to get
241 = 208 x 1 + 33
We consider the new divisor 208 and the new remainder 33,and apply the division lemma to get
208 = 33 x 6 + 10
We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get
33 = 10 x 3 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4064 and 4305 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(208,33) = HCF(241,208) = HCF(4064,241) = HCF(4305,4064) .
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 4064, 4305?
Answer: HCF of 4064, 4305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4064, 4305 using Euclid's Algorithm?
Answer: For arbitrary numbers 4064, 4305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.