Highest Common Factor of 7015, 2063, 65052 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 7015, 2063, 65052 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7015, 2063, 65052 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 7015, 2063, 65052 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 7015, 2063, 65052 is 1.
HCF(7015, 2063, 65052) = 1
HCF of 7015, 2063, 65052 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7015, 2063, 65052 is 1.
Highest Common Factor of 7015,2063,65052 is 1
Step 1: Since 7015 > 2063, we apply the division lemma to 7015 and 2063, to get
7015 = 2063 x 3 + 826
Step 2: Since the reminder 2063 ≠ 0, we apply division lemma to 826 and 2063, to get
2063 = 826 x 2 + 411
Step 3: We consider the new divisor 826 and the new remainder 411, and apply the division lemma to get
826 = 411 x 2 + 4
We consider the new divisor 411 and the new remainder 4,and apply the division lemma to get
411 = 4 x 102 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 7015 and 2063 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(411,4) = HCF(826,411) = HCF(2063,826) = HCF(7015,2063) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65052 > 1, we apply the division lemma to 65052 and 1, to get
65052 = 1 x 65052 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65052 is 1
Notice that 1 = HCF(65052,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7015, 2063, 65052 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 7015, 2063, 65052?
Answer: HCF of 7015, 2063, 65052 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7015, 2063, 65052 using Euclid's Algorithm?
Answer: For arbitrary numbers 7015, 2063, 65052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
