Highest Common Factor of 1514, 4913 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 1514, 4913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1514, 4913 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 1514, 4913 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 1514, 4913 is 1.
HCF(1514, 4913) = 1
HCF of 1514, 4913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1514, 4913 is 1.
Highest Common Factor of 1514,4913 is 1
Step 1: Since 4913 > 1514, we apply the division lemma to 4913 and 1514, to get
4913 = 1514 x 3 + 371
Step 2: Since the reminder 1514 ≠ 0, we apply division lemma to 371 and 1514, to get
1514 = 371 x 4 + 30
Step 3: We consider the new divisor 371 and the new remainder 30, and apply the division lemma to get
371 = 30 x 12 + 11
We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get
30 = 11 x 2 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1514 and 4913 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(371,30) = HCF(1514,371) = HCF(4913,1514) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1514, 4913 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 1514, 4913?
Answer: HCF of 1514, 4913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1514, 4913 using Euclid's Algorithm?
Answer: For arbitrary numbers 1514, 4913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.