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 351, 585 i.e. 117 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 585 is 117 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 351, 585 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 351, 585 is 117.
HCF(351, 585) = 117
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 585 is 117.
Step 1: Since 585 > 351, we apply the division lemma to 585 and 351, to get
585 = 351 x 1 + 234
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 234 and 351, to get
351 = 234 x 1 + 117
Step 3: We consider the new divisor 234 and the new remainder 117, and apply the division lemma to get
234 = 117 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 117, the HCF of 351 and 585 is 117
Notice that 117 = HCF(234,117) = HCF(351,234) = HCF(585,351) .
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 351, 585?
Answer: HCF of 351, 585 is 117 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 585 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.