Highest Common Factor of 547, 805, 62 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, 805, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 805, 62 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, 805, 62 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, 805, 62 is 1.
HCF(547, 805, 62) = 1
HCF of 547, 805, 62 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, 805, 62 is 1.
Highest Common Factor of 547,805,62 is 1
Step 1: Since 805 > 547, we apply the division lemma to 805 and 547, to get
805 = 547 x 1 + 258
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 258 and 547, to get
547 = 258 x 2 + 31
Step 3: We consider the new divisor 258 and the new remainder 31, and apply the division lemma to get
258 = 31 x 8 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 547 and 805 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(258,31) = HCF(547,258) = HCF(805,547) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get
62 = 1 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1
Notice that 1 = HCF(62,1) .
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Frequently Asked Questions on HCF of 547, 805, 62 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, 805, 62?
Answer: HCF of 547, 805, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 805, 62 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 805, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.