Highest Common Factor of 567, 2556 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 567, 2556 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 2556 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 567, 2556 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 567, 2556 is 9.
HCF(567, 2556) = 9
HCF of 567, 2556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 2556 is 9.
Highest Common Factor of 567,2556 is 9
Step 1: Since 2556 > 567, we apply the division lemma to 2556 and 567, to get
2556 = 567 x 4 + 288
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 288 and 567, to get
567 = 288 x 1 + 279
Step 3: We consider the new divisor 288 and the new remainder 279, and apply the division lemma to get
288 = 279 x 1 + 9
We consider the new divisor 279 and the new remainder 9, and apply the division lemma to get
279 = 9 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 567 and 2556 is 9
Notice that 9 = HCF(279,9) = HCF(288,279) = HCF(567,288) = HCF(2556,567) .
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Frequently Asked Questions on HCF of 567, 2556 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 567, 2556?
Answer: HCF of 567, 2556 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 2556 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 2556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.