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 3312, 3615 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3312, 3615 is 3 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 3312, 3615 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 3312, 3615 is 3.
HCF(3312, 3615) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3312, 3615 is 3.
Step 1: Since 3615 > 3312, we apply the division lemma to 3615 and 3312, to get
3615 = 3312 x 1 + 303
Step 2: Since the reminder 3312 ≠ 0, we apply division lemma to 303 and 3312, to get
3312 = 303 x 10 + 282
Step 3: We consider the new divisor 303 and the new remainder 282, and apply the division lemma to get
303 = 282 x 1 + 21
We consider the new divisor 282 and the new remainder 21,and apply the division lemma to get
282 = 21 x 13 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3312 and 3615 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(282,21) = HCF(303,282) = HCF(3312,303) = HCF(3615,3312) .
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 3312, 3615?
Answer: HCF of 3312, 3615 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3312, 3615 using Euclid's Algorithm?
Answer: For arbitrary numbers 3312, 3615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.