Highest Common Factor of 730, 804, 588, 993 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 730, 804, 588, 993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 730, 804, 588, 993 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 730, 804, 588, 993 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 730, 804, 588, 993 is 1.
HCF(730, 804, 588, 993) = 1
HCF of 730, 804, 588, 993 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 730, 804, 588, 993 is 1.
Highest Common Factor of 730,804,588,993 is 1
Step 1: Since 804 > 730, we apply the division lemma to 804 and 730, to get
804 = 730 x 1 + 74
Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 74 and 730, to get
730 = 74 x 9 + 64
Step 3: We consider the new divisor 74 and the new remainder 64, and apply the division lemma to get
74 = 64 x 1 + 10
We consider the new divisor 64 and the new remainder 10,and apply the division lemma to get
64 = 10 x 6 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 730 and 804 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(64,10) = HCF(74,64) = HCF(730,74) = HCF(804,730) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 588 > 2, we apply the division lemma to 588 and 2, to get
588 = 2 x 294 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 588 is 2
Notice that 2 = HCF(588,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 993 > 2, we apply the division lemma to 993 and 2, to get
993 = 2 x 496 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 993 is 1
Notice that 1 = HCF(2,1) = HCF(993,2) .
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Frequently Asked Questions on HCF of 730, 804, 588, 993 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 730, 804, 588, 993?
Answer: HCF of 730, 804, 588, 993 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 730, 804, 588, 993 using Euclid's Algorithm?
Answer: For arbitrary numbers 730, 804, 588, 993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.