Highest Common Factor of 3718, 7230 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 3718, 7230 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3718, 7230 is 2 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 3718, 7230 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 3718, 7230 is 2.
HCF(3718, 7230) = 2
HCF of 3718, 7230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3718, 7230 is 2.
Highest Common Factor of 3718,7230 is 2
Step 1: Since 7230 > 3718, we apply the division lemma to 7230 and 3718, to get
7230 = 3718 x 1 + 3512
Step 2: Since the reminder 3718 ≠ 0, we apply division lemma to 3512 and 3718, to get
3718 = 3512 x 1 + 206
Step 3: We consider the new divisor 3512 and the new remainder 206, and apply the division lemma to get
3512 = 206 x 17 + 10
We consider the new divisor 206 and the new remainder 10,and apply the division lemma to get
206 = 10 x 20 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3718 and 7230 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(206,10) = HCF(3512,206) = HCF(3718,3512) = HCF(7230,3718) .
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Frequently Asked Questions on HCF of 3718, 7230 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 3718, 7230?
Answer: HCF of 3718, 7230 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3718, 7230 using Euclid's Algorithm?
Answer: For arbitrary numbers 3718, 7230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.