Highest Common Factor of 2547, 1557 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 2547, 1557 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 2547, 1557 is 9 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 2547, 1557 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 2547, 1557 is 9.
HCF(2547, 1557) = 9
HCF of 2547, 1557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2547, 1557 is 9.
Highest Common Factor of 2547,1557 is 9
Step 1: Since 2547 > 1557, we apply the division lemma to 2547 and 1557, to get
2547 = 1557 x 1 + 990
Step 2: Since the reminder 1557 ≠ 0, we apply division lemma to 990 and 1557, to get
1557 = 990 x 1 + 567
Step 3: We consider the new divisor 990 and the new remainder 567, and apply the division lemma to get
990 = 567 x 1 + 423
We consider the new divisor 567 and the new remainder 423,and apply the division lemma to get
567 = 423 x 1 + 144
We consider the new divisor 423 and the new remainder 144,and apply the division lemma to get
423 = 144 x 2 + 135
We consider the new divisor 144 and the new remainder 135,and apply the division lemma to get
144 = 135 x 1 + 9
We consider the new divisor 135 and the new remainder 9,and apply the division lemma to get
135 = 9 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 2547 and 1557 is 9
Notice that 9 = HCF(135,9) = HCF(144,135) = HCF(423,144) = HCF(567,423) = HCF(990,567) = HCF(1557,990) = HCF(2547,1557) .
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Frequently Asked Questions on HCF of 2547, 1557 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 2547, 1557?
Answer: HCF of 2547, 1557 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2547, 1557 using Euclid's Algorithm?
Answer: For arbitrary numbers 2547, 1557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.