Highest Common Factor of 2379, 1587 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 2379, 1587 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2379, 1587 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 2379, 1587 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 2379, 1587 is 3.
HCF(2379, 1587) = 3
HCF of 2379, 1587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2379, 1587 is 3.
Highest Common Factor of 2379,1587 is 3
Step 1: Since 2379 > 1587, we apply the division lemma to 2379 and 1587, to get
2379 = 1587 x 1 + 792
Step 2: Since the reminder 1587 ≠ 0, we apply division lemma to 792 and 1587, to get
1587 = 792 x 2 + 3
Step 3: We consider the new divisor 792 and the new remainder 3, and apply the division lemma to get
792 = 3 x 264 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2379 and 1587 is 3
Notice that 3 = HCF(792,3) = HCF(1587,792) = HCF(2379,1587) .
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Frequently Asked Questions on HCF of 2379, 1587 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 2379, 1587?
Answer: HCF of 2379, 1587 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2379, 1587 using Euclid's Algorithm?
Answer: For arbitrary numbers 2379, 1587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.