Highest Common Factor of 577, 500, 487 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 577, 500, 487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 500, 487 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 577, 500, 487 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 577, 500, 487 is 1.
HCF(577, 500, 487) = 1
HCF of 577, 500, 487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 577, 500, 487 is 1.
Highest Common Factor of 577,500,487 is 1
Step 1: Since 577 > 500, we apply the division lemma to 577 and 500, to get
577 = 500 x 1 + 77
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 77 and 500, to get
500 = 77 x 6 + 38
Step 3: We consider the new divisor 77 and the new remainder 38, and apply the division lemma to get
77 = 38 x 2 + 1
We consider the new divisor 38 and the new remainder 1, and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 577 and 500 is 1
Notice that 1 = HCF(38,1) = HCF(77,38) = HCF(500,77) = HCF(577,500) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 487 > 1, we apply the division lemma to 487 and 1, to get
487 = 1 x 487 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 487 is 1
Notice that 1 = HCF(487,1) .
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Frequently Asked Questions on HCF of 577, 500, 487 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 577, 500, 487?
Answer: HCF of 577, 500, 487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 500, 487 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 500, 487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.