Highest Common Factor of 1578, 5365 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 1578, 5365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1578, 5365 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 1578, 5365 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 1578, 5365 is 1.
HCF(1578, 5365) = 1
HCF of 1578, 5365 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1578, 5365 is 1.
Highest Common Factor of 1578,5365 is 1
Step 1: Since 5365 > 1578, we apply the division lemma to 5365 and 1578, to get
5365 = 1578 x 3 + 631
Step 2: Since the reminder 1578 ≠ 0, we apply division lemma to 631 and 1578, to get
1578 = 631 x 2 + 316
Step 3: We consider the new divisor 631 and the new remainder 316, and apply the division lemma to get
631 = 316 x 1 + 315
We consider the new divisor 316 and the new remainder 315,and apply the division lemma to get
316 = 315 x 1 + 1
We consider the new divisor 315 and the new remainder 1,and apply the division lemma to get
315 = 1 x 315 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1578 and 5365 is 1
Notice that 1 = HCF(315,1) = HCF(316,315) = HCF(631,316) = HCF(1578,631) = HCF(5365,1578) .
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Frequently Asked Questions on HCF of 1578, 5365 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 1578, 5365?
Answer: HCF of 1578, 5365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1578, 5365 using Euclid's Algorithm?
Answer: For arbitrary numbers 1578, 5365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.