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, 427, 383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 730, 427, 383 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, 427, 383 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, 427, 383 is 1.
HCF(730, 427, 383) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 730, 427, 383 is 1.
Step 1: Since 730 > 427, we apply the division lemma to 730 and 427, to get
730 = 427 x 1 + 303
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 303 and 427, to get
427 = 303 x 1 + 124
Step 3: We consider the new divisor 303 and the new remainder 124, and apply the division lemma to get
303 = 124 x 2 + 55
We consider the new divisor 124 and the new remainder 55,and apply the division lemma to get
124 = 55 x 2 + 14
We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get
55 = 14 x 3 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 730 and 427 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(124,55) = HCF(303,124) = HCF(427,303) = HCF(730,427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 383 > 1, we apply the division lemma to 383 and 1, to get
383 = 1 x 383 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 383 is 1
Notice that 1 = HCF(383,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 427, 383?
Answer: HCF of 730, 427, 383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 730, 427, 383 using Euclid's Algorithm?
Answer: For arbitrary numbers 730, 427, 383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.