Highest Common Factor of 930, 728, 386 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 930, 728, 386 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 930, 728, 386 is 2 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 930, 728, 386 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 930, 728, 386 is 2.
HCF(930, 728, 386) = 2
HCF of 930, 728, 386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 930, 728, 386 is 2.
Highest Common Factor of 930,728,386 is 2
Step 1: Since 930 > 728, we apply the division lemma to 930 and 728, to get
930 = 728 x 1 + 202
Step 2: Since the reminder 728 ≠ 0, we apply division lemma to 202 and 728, to get
728 = 202 x 3 + 122
Step 3: We consider the new divisor 202 and the new remainder 122, and apply the division lemma to get
202 = 122 x 1 + 80
We consider the new divisor 122 and the new remainder 80,and apply the division lemma to get
122 = 80 x 1 + 42
We consider the new divisor 80 and the new remainder 42,and apply the division lemma to get
80 = 42 x 1 + 38
We consider the new divisor 42 and the new remainder 38,and apply the division lemma to get
42 = 38 x 1 + 4
We consider the new divisor 38 and the new remainder 4,and apply the division lemma to get
38 = 4 x 9 + 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 930 and 728 is 2
Notice that 2 = HCF(4,2) = HCF(38,4) = HCF(42,38) = HCF(80,42) = HCF(122,80) = HCF(202,122) = HCF(728,202) = HCF(930,728) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 386 > 2, we apply the division lemma to 386 and 2, to get
386 = 2 x 193 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 386 is 2
Notice that 2 = HCF(386,2) .
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Frequently Asked Questions on HCF of 930, 728, 386 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 930, 728, 386?
Answer: HCF of 930, 728, 386 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 930, 728, 386 using Euclid's Algorithm?
Answer: For arbitrary numbers 930, 728, 386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.