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 315, 600, 929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 315, 600, 929 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 315, 600, 929 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 315, 600, 929 is 1.
HCF(315, 600, 929) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 315, 600, 929 is 1.
Step 1: Since 600 > 315, we apply the division lemma to 600 and 315, to get
600 = 315 x 1 + 285
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 285 and 315, to get
315 = 285 x 1 + 30
Step 3: We consider the new divisor 285 and the new remainder 30, and apply the division lemma to get
285 = 30 x 9 + 15
We consider the new divisor 30 and the new remainder 15, and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 315 and 600 is 15
Notice that 15 = HCF(30,15) = HCF(285,30) = HCF(315,285) = HCF(600,315) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 929 > 15, we apply the division lemma to 929 and 15, to get
929 = 15 x 61 + 14
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 14 and 15, to get
15 = 14 x 1 + 1
Step 3: We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 15 and 929 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(929,15) .
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 315, 600, 929?
Answer: HCF of 315, 600, 929 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 315, 600, 929 using Euclid's Algorithm?
Answer: For arbitrary numbers 315, 600, 929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.