Highest Common Factor of 587, 930, 721, 441 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 587, 930, 721, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 930, 721, 441 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 587, 930, 721, 441 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 587, 930, 721, 441 is 1.
HCF(587, 930, 721, 441) = 1
HCF of 587, 930, 721, 441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 930, 721, 441 is 1.
Highest Common Factor of 587,930,721,441 is 1
Step 1: Since 930 > 587, we apply the division lemma to 930 and 587, to get
930 = 587 x 1 + 343
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 343 and 587, to get
587 = 343 x 1 + 244
Step 3: We consider the new divisor 343 and the new remainder 244, and apply the division lemma to get
343 = 244 x 1 + 99
We consider the new divisor 244 and the new remainder 99,and apply the division lemma to get
244 = 99 x 2 + 46
We consider the new divisor 99 and the new remainder 46,and apply the division lemma to get
99 = 46 x 2 + 7
We consider the new divisor 46 and the new remainder 7,and apply the division lemma to get
46 = 7 x 6 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 930 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(46,7) = HCF(99,46) = HCF(244,99) = HCF(343,244) = HCF(587,343) = HCF(930,587) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 721 > 1, we apply the division lemma to 721 and 1, to get
721 = 1 x 721 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 721 is 1
Notice that 1 = HCF(721,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get
441 = 1 x 441 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1
Notice that 1 = HCF(441,1) .
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Frequently Asked Questions on HCF of 587, 930, 721, 441 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 587, 930, 721, 441?
Answer: HCF of 587, 930, 721, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 930, 721, 441 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 930, 721, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.