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 652, 13203 i.e. 163 the largest integer that leaves a remainder zero for all numbers.
HCF of 652, 13203 is 163 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 652, 13203 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 652, 13203 is 163.
HCF(652, 13203) = 163
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 652, 13203 is 163.
Step 1: Since 13203 > 652, we apply the division lemma to 13203 and 652, to get
13203 = 652 x 20 + 163
Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 163 and 652, to get
652 = 163 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 163, the HCF of 652 and 13203 is 163
Notice that 163 = HCF(652,163) = HCF(13203,652) .
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 652, 13203?
Answer: HCF of 652, 13203 is 163 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 652, 13203 using Euclid's Algorithm?
Answer: For arbitrary numbers 652, 13203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.