Highest Common Factor of 2715, 3699 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 2715, 3699 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2715, 3699 is 3 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 2715, 3699 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 2715, 3699 is 3.
HCF(2715, 3699) = 3
HCF of 2715, 3699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2715, 3699 is 3.
Highest Common Factor of 2715,3699 is 3
Step 1: Since 3699 > 2715, we apply the division lemma to 3699 and 2715, to get
3699 = 2715 x 1 + 984
Step 2: Since the reminder 2715 ≠ 0, we apply division lemma to 984 and 2715, to get
2715 = 984 x 2 + 747
Step 3: We consider the new divisor 984 and the new remainder 747, and apply the division lemma to get
984 = 747 x 1 + 237
We consider the new divisor 747 and the new remainder 237,and apply the division lemma to get
747 = 237 x 3 + 36
We consider the new divisor 237 and the new remainder 36,and apply the division lemma to get
237 = 36 x 6 + 21
We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get
36 = 21 x 1 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2715 and 3699 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(237,36) = HCF(747,237) = HCF(984,747) = HCF(2715,984) = HCF(3699,2715) .
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Frequently Asked Questions on HCF of 2715, 3699 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 2715, 3699?
Answer: HCF of 2715, 3699 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2715, 3699 using Euclid's Algorithm?
Answer: For arbitrary numbers 2715, 3699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.