Highest Common Factor of 500, 300 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 500, 300 i.e. 100 the largest integer that leaves a remainder zero for all numbers.
HCF of 500, 300 is 100 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 500, 300 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 500, 300 is 100.
HCF(500, 300) = 100
HCF of 500, 300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 500, 300 is 100.
Highest Common Factor of 500,300 is 100
Step 1: Since 500 > 300, we apply the division lemma to 500 and 300, to get
500 = 300 x 1 + 200
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 200 and 300, to get
300 = 200 x 1 + 100
Step 3: We consider the new divisor 200 and the new remainder 100, and apply the division lemma to get
200 = 100 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 100, the HCF of 500 and 300 is 100
Notice that 100 = HCF(200,100) = HCF(300,200) = HCF(500,300) .
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Frequently Asked Questions on HCF of 500, 300 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 500, 300?
Answer: HCF of 500, 300 is 100 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 500, 300 using Euclid's Algorithm?
Answer: For arbitrary numbers 500, 300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
