Highest Common Factor of 577, 909, 503 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, 909, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 909, 503 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, 909, 503 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, 909, 503 is 1.
HCF(577, 909, 503) = 1
HCF of 577, 909, 503 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, 909, 503 is 1.
Highest Common Factor of 577,909,503 is 1
Step 1: Since 909 > 577, we apply the division lemma to 909 and 577, to get
909 = 577 x 1 + 332
Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 332 and 577, to get
577 = 332 x 1 + 245
Step 3: We consider the new divisor 332 and the new remainder 245, and apply the division lemma to get
332 = 245 x 1 + 87
We consider the new divisor 245 and the new remainder 87,and apply the division lemma to get
245 = 87 x 2 + 71
We consider the new divisor 87 and the new remainder 71,and apply the division lemma to get
87 = 71 x 1 + 16
We consider the new divisor 71 and the new remainder 16,and apply the division lemma to get
71 = 16 x 4 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 577 and 909 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(71,16) = HCF(87,71) = HCF(245,87) = HCF(332,245) = HCF(577,332) = HCF(909,577) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 503 > 1, we apply the division lemma to 503 and 1, to get
503 = 1 x 503 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 503 is 1
Notice that 1 = HCF(503,1) .
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Frequently Asked Questions on HCF of 577, 909, 503 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, 909, 503?
Answer: HCF of 577, 909, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 909, 503 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 909, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
