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 3320, 5035 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3320, 5035 is 5 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 3320, 5035 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 3320, 5035 is 5.
HCF(3320, 5035) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3320, 5035 is 5.
Step 1: Since 5035 > 3320, we apply the division lemma to 5035 and 3320, to get
5035 = 3320 x 1 + 1715
Step 2: Since the reminder 3320 ≠ 0, we apply division lemma to 1715 and 3320, to get
3320 = 1715 x 1 + 1605
Step 3: We consider the new divisor 1715 and the new remainder 1605, and apply the division lemma to get
1715 = 1605 x 1 + 110
We consider the new divisor 1605 and the new remainder 110,and apply the division lemma to get
1605 = 110 x 14 + 65
We consider the new divisor 110 and the new remainder 65,and apply the division lemma to get
110 = 65 x 1 + 45
We consider the new divisor 65 and the new remainder 45,and apply the division lemma to get
65 = 45 x 1 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3320 and 5035 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(65,45) = HCF(110,65) = HCF(1605,110) = HCF(1715,1605) = HCF(3320,1715) = HCF(5035,3320) .
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 3320, 5035?
Answer: HCF of 3320, 5035 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3320, 5035 using Euclid's Algorithm?
Answer: For arbitrary numbers 3320, 5035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.