Highest Common Factor of 727, 501, 147, 583 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 727, 501, 147, 583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 501, 147, 583 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 727, 501, 147, 583 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 727, 501, 147, 583 is 1.
HCF(727, 501, 147, 583) = 1
HCF of 727, 501, 147, 583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 501, 147, 583 is 1.
Highest Common Factor of 727,501,147,583 is 1
Step 1: Since 727 > 501, we apply the division lemma to 727 and 501, to get
727 = 501 x 1 + 226
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 226 and 501, to get
501 = 226 x 2 + 49
Step 3: We consider the new divisor 226 and the new remainder 49, and apply the division lemma to get
226 = 49 x 4 + 30
We consider the new divisor 49 and the new remainder 30,and apply the division lemma to get
49 = 30 x 1 + 19
We consider the new divisor 30 and the new remainder 19,and apply the division lemma to get
30 = 19 x 1 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 727 and 501 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(30,19) = HCF(49,30) = HCF(226,49) = HCF(501,226) = HCF(727,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 147 > 1, we apply the division lemma to 147 and 1, to get
147 = 1 x 147 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 147 is 1
Notice that 1 = HCF(147,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 583 > 1, we apply the division lemma to 583 and 1, to get
583 = 1 x 583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 583 is 1
Notice that 1 = HCF(583,1) .
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Frequently Asked Questions on HCF of 727, 501, 147, 583 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 727, 501, 147, 583?
Answer: HCF of 727, 501, 147, 583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 501, 147, 583 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 501, 147, 583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
