Highest Common Factor of 7045, 3514 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 7045, 3514 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7045, 3514 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 7045, 3514 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 7045, 3514 is 1.
HCF(7045, 3514) = 1
HCF of 7045, 3514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7045, 3514 is 1.
Highest Common Factor of 7045,3514 is 1
Step 1: Since 7045 > 3514, we apply the division lemma to 7045 and 3514, to get
7045 = 3514 x 2 + 17
Step 2: Since the reminder 3514 ≠ 0, we apply division lemma to 17 and 3514, to get
3514 = 17 x 206 + 12
Step 3: We consider the new divisor 17 and the new remainder 12, and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7045 and 3514 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(3514,17) = HCF(7045,3514) .
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Frequently Asked Questions on HCF of 7045, 3514 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 7045, 3514?
Answer: HCF of 7045, 3514 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7045, 3514 using Euclid's Algorithm?
Answer: For arbitrary numbers 7045, 3514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.