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 720, 461, 803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 720, 461, 803 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 720, 461, 803 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 720, 461, 803 is 1.
HCF(720, 461, 803) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 720, 461, 803 is 1.
Step 1: Since 720 > 461, we apply the division lemma to 720 and 461, to get
720 = 461 x 1 + 259
Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 259 and 461, to get
461 = 259 x 1 + 202
Step 3: We consider the new divisor 259 and the new remainder 202, and apply the division lemma to get
259 = 202 x 1 + 57
We consider the new divisor 202 and the new remainder 57,and apply the division lemma to get
202 = 57 x 3 + 31
We consider the new divisor 57 and the new remainder 31,and apply the division lemma to get
57 = 31 x 1 + 26
We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get
31 = 26 x 1 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 720 and 461 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(57,31) = HCF(202,57) = HCF(259,202) = HCF(461,259) = HCF(720,461) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 803 > 1, we apply the division lemma to 803 and 1, to get
803 = 1 x 803 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 803 is 1
Notice that 1 = HCF(803,1) .
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 720, 461, 803?
Answer: HCF of 720, 461, 803 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 720, 461, 803 using Euclid's Algorithm?
Answer: For arbitrary numbers 720, 461, 803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.