Highest Common Factor of 2407, 1714 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 2407, 1714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2407, 1714 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 2407, 1714 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 2407, 1714 is 1.
HCF(2407, 1714) = 1
HCF of 2407, 1714 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2407, 1714 is 1.
Highest Common Factor of 2407,1714 is 1
Step 1: Since 2407 > 1714, we apply the division lemma to 2407 and 1714, to get
2407 = 1714 x 1 + 693
Step 2: Since the reminder 1714 ≠ 0, we apply division lemma to 693 and 1714, to get
1714 = 693 x 2 + 328
Step 3: We consider the new divisor 693 and the new remainder 328, and apply the division lemma to get
693 = 328 x 2 + 37
We consider the new divisor 328 and the new remainder 37,and apply the division lemma to get
328 = 37 x 8 + 32
We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get
37 = 32 x 1 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 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 2407 and 1714 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(328,37) = HCF(693,328) = HCF(1714,693) = HCF(2407,1714) .
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Frequently Asked Questions on HCF of 2407, 1714 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 2407, 1714?
Answer: HCF of 2407, 1714 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2407, 1714 using Euclid's Algorithm?
Answer: For arbitrary numbers 2407, 1714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.