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 3313, 3932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3313, 3932 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 3313, 3932 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 3313, 3932 is 1.
HCF(3313, 3932) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3313, 3932 is 1.
Step 1: Since 3932 > 3313, we apply the division lemma to 3932 and 3313, to get
3932 = 3313 x 1 + 619
Step 2: Since the reminder 3313 ≠ 0, we apply division lemma to 619 and 3313, to get
3313 = 619 x 5 + 218
Step 3: We consider the new divisor 619 and the new remainder 218, and apply the division lemma to get
619 = 218 x 2 + 183
We consider the new divisor 218 and the new remainder 183,and apply the division lemma to get
218 = 183 x 1 + 35
We consider the new divisor 183 and the new remainder 35,and apply the division lemma to get
183 = 35 x 5 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3313 and 3932 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(183,35) = HCF(218,183) = HCF(619,218) = HCF(3313,619) = HCF(3932,3313) .
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 3313, 3932?
Answer: HCF of 3313, 3932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3313, 3932 using Euclid's Algorithm?
Answer: For arbitrary numbers 3313, 3932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.