Highest Common Factor of 728, 2990, 4473 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 728, 2990, 4473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 728, 2990, 4473 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 728, 2990, 4473 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 728, 2990, 4473 is 1.
HCF(728, 2990, 4473) = 1
HCF of 728, 2990, 4473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 728, 2990, 4473 is 1.
Highest Common Factor of 728,2990,4473 is 1
Step 1: Since 2990 > 728, we apply the division lemma to 2990 and 728, to get
2990 = 728 x 4 + 78
Step 2: Since the reminder 728 ≠ 0, we apply division lemma to 78 and 728, to get
728 = 78 x 9 + 26
Step 3: We consider the new divisor 78 and the new remainder 26, and apply the division lemma to get
78 = 26 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 728 and 2990 is 26
Notice that 26 = HCF(78,26) = HCF(728,78) = HCF(2990,728) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4473 > 26, we apply the division lemma to 4473 and 26, to get
4473 = 26 x 172 + 1
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 1 and 26, to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 4473 is 1
Notice that 1 = HCF(26,1) = HCF(4473,26) .
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Frequently Asked Questions on HCF of 728, 2990, 4473 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 728, 2990, 4473?
Answer: HCF of 728, 2990, 4473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 728, 2990, 4473 using Euclid's Algorithm?
Answer: For arbitrary numbers 728, 2990, 4473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.