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 4075, 4510 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4075, 4510 is 5 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 4075, 4510 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 4075, 4510 is 5.
HCF(4075, 4510) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4075, 4510 is 5.
Step 1: Since 4510 > 4075, we apply the division lemma to 4510 and 4075, to get
4510 = 4075 x 1 + 435
Step 2: Since the reminder 4075 ≠ 0, we apply division lemma to 435 and 4075, to get
4075 = 435 x 9 + 160
Step 3: We consider the new divisor 435 and the new remainder 160, and apply the division lemma to get
435 = 160 x 2 + 115
We consider the new divisor 160 and the new remainder 115,and apply the division lemma to get
160 = 115 x 1 + 45
We consider the new divisor 115 and the new remainder 45,and apply the division lemma to get
115 = 45 x 2 + 25
We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get
45 = 25 x 1 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4075 and 4510 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(115,45) = HCF(160,115) = HCF(435,160) = HCF(4075,435) = HCF(4510,4075) .
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 4075, 4510?
Answer: HCF of 4075, 4510 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4075, 4510 using Euclid's Algorithm?
Answer: For arbitrary numbers 4075, 4510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.