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 810, 945, 405 i.e. 135 the largest integer that leaves a remainder zero for all numbers.
HCF of 810, 945, 405 is 135 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 810, 945, 405 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 810, 945, 405 is 135.
HCF(810, 945, 405) = 135
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 810, 945, 405 is 135.
Step 1: Since 945 > 810, we apply the division lemma to 945 and 810, to get
945 = 810 x 1 + 135
Step 2: Since the reminder 810 ≠ 0, we apply division lemma to 135 and 810, to get
810 = 135 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 135, the HCF of 810 and 945 is 135
Notice that 135 = HCF(810,135) = HCF(945,810) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 405 > 135, we apply the division lemma to 405 and 135, to get
405 = 135 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 135, the HCF of 135 and 405 is 135
Notice that 135 = HCF(405,135) .
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 810, 945, 405?
Answer: HCF of 810, 945, 405 is 135 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 810, 945, 405 using Euclid's Algorithm?
Answer: For arbitrary numbers 810, 945, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.