Highest Common Factor of 2450, 5700 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 2450, 5700 i.e. 50 the largest integer that leaves a remainder zero for all numbers.
HCF of 2450, 5700 is 50 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 2450, 5700 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 2450, 5700 is 50.
HCF(2450, 5700) = 50
HCF of 2450, 5700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2450, 5700 is 50.
Highest Common Factor of 2450,5700 is 50
Step 1: Since 5700 > 2450, we apply the division lemma to 5700 and 2450, to get
5700 = 2450 x 2 + 800
Step 2: Since the reminder 2450 ≠ 0, we apply division lemma to 800 and 2450, to get
2450 = 800 x 3 + 50
Step 3: We consider the new divisor 800 and the new remainder 50, and apply the division lemma to get
800 = 50 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 2450 and 5700 is 50
Notice that 50 = HCF(800,50) = HCF(2450,800) = HCF(5700,2450) .
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Frequently Asked Questions on HCF of 2450, 5700 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 2450, 5700?
Answer: HCF of 2450, 5700 is 50 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2450, 5700 using Euclid's Algorithm?
Answer: For arbitrary numbers 2450, 5700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.