Highest Common Factor of 547, 2528 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 547, 2528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 2528 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 547, 2528 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 547, 2528 is 1.
HCF(547, 2528) = 1
HCF of 547, 2528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 547, 2528 is 1.
Highest Common Factor of 547,2528 is 1
Step 1: Since 2528 > 547, we apply the division lemma to 2528 and 547, to get
2528 = 547 x 4 + 340
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 340 and 547, to get
547 = 340 x 1 + 207
Step 3: We consider the new divisor 340 and the new remainder 207, and apply the division lemma to get
340 = 207 x 1 + 133
We consider the new divisor 207 and the new remainder 133,and apply the division lemma to get
207 = 133 x 1 + 74
We consider the new divisor 133 and the new remainder 74,and apply the division lemma to get
133 = 74 x 1 + 59
We consider the new divisor 74 and the new remainder 59,and apply the division lemma to get
74 = 59 x 1 + 15
We consider the new divisor 59 and the new remainder 15,and apply the division lemma to get
59 = 15 x 3 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 547 and 2528 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(59,15) = HCF(74,59) = HCF(133,74) = HCF(207,133) = HCF(340,207) = HCF(547,340) = HCF(2528,547) .
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Frequently Asked Questions on HCF of 547, 2528 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 547, 2528?
Answer: HCF of 547, 2528 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 2528 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 2528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.