Highest Common Factor of 6300, 210 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 6300, 210 i.e. 210 the largest integer that leaves a remainder zero for all numbers.
HCF of 6300, 210 is 210 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 6300, 210 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 6300, 210 is 210.
HCF(6300, 210) = 210
HCF of 6300, 210 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6300, 210 is 210.
Highest Common Factor of 6300,210 is 210
Step 1: Since 6300 > 210, we apply the division lemma to 6300 and 210, to get
6300 = 210 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 210, the HCF of 6300 and 210 is 210
Notice that 210 = HCF(6300,210) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6300, 210 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 6300, 210?
Answer: HCF of 6300, 210 is 210 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6300, 210 using Euclid's Algorithm?
Answer: For arbitrary numbers 6300, 210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
