Highest Common Factor of 3245, 8460 using Euclid's algorithm
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, 8460 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3245, 8460 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 3245, 8460 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, 8460 is 5.
HCF(3245, 8460) = 5
HCF of 3245, 8460 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3245, 8460 is 5.
Highest Common Factor of 3245,8460 is 5
Step 1: Since 8460 > 3245, we apply the division lemma to 8460 and 3245, to get
8460 = 3245 x 2 + 1970
Step 2: Since the reminder 3245 ≠ 0, we apply division lemma to 1970 and 3245, to get
3245 = 1970 x 1 + 1275
Step 3: We consider the new divisor 1970 and the new remainder 1275, and apply the division lemma to get
1970 = 1275 x 1 + 695
We consider the new divisor 1275 and the new remainder 695,and apply the division lemma to get
1275 = 695 x 1 + 580
We consider the new divisor 695 and the new remainder 580,and apply the division lemma to get
695 = 580 x 1 + 115
We consider the new divisor 580 and the new remainder 115,and apply the division lemma to get
580 = 115 x 5 + 5
We consider the new divisor 115 and the new remainder 5,and apply the division lemma to get
115 = 5 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3245 and 8460 is 5
Notice that 5 = HCF(115,5) = HCF(580,115) = HCF(695,580) = HCF(1275,695) = HCF(1970,1275) = HCF(3245,1970) = HCF(8460,3245) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3245, 8460 using Euclid's Algorithm
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, 8460?
Answer: HCF of 3245, 8460 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3245, 8460 using Euclid's Algorithm?
Answer: For arbitrary numbers 3245, 8460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.