Highest Common Factor of 815, 24700 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 815, 24700 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 815, 24700 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 815, 24700 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 815, 24700 is 5.
HCF(815, 24700) = 5
HCF of 815, 24700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 815, 24700 is 5.
Highest Common Factor of 815,24700 is 5
Step 1: Since 24700 > 815, we apply the division lemma to 24700 and 815, to get
24700 = 815 x 30 + 250
Step 2: Since the reminder 815 ≠ 0, we apply division lemma to 250 and 815, to get
815 = 250 x 3 + 65
Step 3: We consider the new divisor 250 and the new remainder 65, and apply the division lemma to get
250 = 65 x 3 + 55
We consider the new divisor 65 and the new remainder 55,and apply the division lemma to get
65 = 55 x 1 + 10
We consider the new divisor 55 and the new remainder 10,and apply the division lemma to get
55 = 10 x 5 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 815 and 24700 is 5
Notice that 5 = HCF(10,5) = HCF(55,10) = HCF(65,55) = HCF(250,65) = HCF(815,250) = HCF(24700,815) .
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Frequently Asked Questions on HCF of 815, 24700 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 815, 24700?
Answer: HCF of 815, 24700 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 815, 24700 using Euclid's Algorithm?
Answer: For arbitrary numbers 815, 24700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.