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 589, 310, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 589, 310, 869 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 589, 310, 869 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 589, 310, 869 is 1.
HCF(589, 310, 869) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 589, 310, 869 is 1.
Step 1: Since 589 > 310, we apply the division lemma to 589 and 310, to get
589 = 310 x 1 + 279
Step 2: Since the reminder 310 ≠ 0, we apply division lemma to 279 and 310, to get
310 = 279 x 1 + 31
Step 3: We consider the new divisor 279 and the new remainder 31, and apply the division lemma to get
279 = 31 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 589 and 310 is 31
Notice that 31 = HCF(279,31) = HCF(310,279) = HCF(589,310) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 31, we apply the division lemma to 869 and 31, to get
869 = 31 x 28 + 1
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 1 and 31, to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 869 is 1
Notice that 1 = HCF(31,1) = HCF(869,31) .
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 589, 310, 869?
Answer: HCF of 589, 310, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 589, 310, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 589, 310, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.