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 309, 464, 697, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 309, 464, 697, 283 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 309, 464, 697, 283 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 309, 464, 697, 283 is 1.
HCF(309, 464, 697, 283) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 309, 464, 697, 283 is 1.
Step 1: Since 464 > 309, we apply the division lemma to 464 and 309, to get
464 = 309 x 1 + 155
Step 2: Since the reminder 309 ≠ 0, we apply division lemma to 155 and 309, to get
309 = 155 x 1 + 154
Step 3: We consider the new divisor 155 and the new remainder 154, and apply the division lemma to get
155 = 154 x 1 + 1
We consider the new divisor 154 and the new remainder 1, and apply the division lemma to get
154 = 1 x 154 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 309 and 464 is 1
Notice that 1 = HCF(154,1) = HCF(155,154) = HCF(309,155) = HCF(464,309) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 697 > 1, we apply the division lemma to 697 and 1, to get
697 = 1 x 697 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 697 is 1
Notice that 1 = HCF(697,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 283 > 1, we apply the division lemma to 283 and 1, to get
283 = 1 x 283 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 283 is 1
Notice that 1 = HCF(283,1) .
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 309, 464, 697, 283?
Answer: HCF of 309, 464, 697, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 309, 464, 697, 283 using Euclid's Algorithm?
Answer: For arbitrary numbers 309, 464, 697, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.