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 280, 793, 289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 280, 793, 289 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 280, 793, 289 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 280, 793, 289 is 1.
HCF(280, 793, 289) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 280, 793, 289 is 1.
Step 1: Since 793 > 280, we apply the division lemma to 793 and 280, to get
793 = 280 x 2 + 233
Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 233 and 280, to get
280 = 233 x 1 + 47
Step 3: We consider the new divisor 233 and the new remainder 47, and apply the division lemma to get
233 = 47 x 4 + 45
We consider the new divisor 47 and the new remainder 45,and apply the division lemma to get
47 = 45 x 1 + 2
We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get
45 = 2 x 22 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 280 and 793 is 1
Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(47,45) = HCF(233,47) = HCF(280,233) = HCF(793,280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 289 > 1, we apply the division lemma to 289 and 1, to get
289 = 1 x 289 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 289 is 1
Notice that 1 = HCF(289,1) .
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 280, 793, 289?
Answer: HCF of 280, 793, 289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 280, 793, 289 using Euclid's Algorithm?
Answer: For arbitrary numbers 280, 793, 289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.