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 3245, 8153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3245, 8153 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 3245, 8153 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 3245, 8153 is 1.
HCF(3245, 8153) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3245, 8153 is 1.
Step 1: Since 8153 > 3245, we apply the division lemma to 8153 and 3245, to get
8153 = 3245 x 2 + 1663
Step 2: Since the reminder 3245 ≠ 0, we apply division lemma to 1663 and 3245, to get
3245 = 1663 x 1 + 1582
Step 3: We consider the new divisor 1663 and the new remainder 1582, and apply the division lemma to get
1663 = 1582 x 1 + 81
We consider the new divisor 1582 and the new remainder 81,and apply the division lemma to get
1582 = 81 x 19 + 43
We consider the new divisor 81 and the new remainder 43,and apply the division lemma to get
81 = 43 x 1 + 38
We consider the new divisor 43 and the new remainder 38,and apply the division lemma to get
43 = 38 x 1 + 5
We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get
38 = 5 x 7 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 3245 and 8153 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(43,38) = HCF(81,43) = HCF(1582,81) = HCF(1663,1582) = HCF(3245,1663) = HCF(8153,3245) .
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 3245, 8153?
Answer: HCF of 3245, 8153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3245, 8153 using Euclid's Algorithm?
Answer: For arbitrary numbers 3245, 8153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.