Highest Common Factor of 5203, 5253 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 5203, 5253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5203, 5253 is 1 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 5203, 5253 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 5203, 5253 is 1.
HCF(5203, 5253) = 1
HCF of 5203, 5253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5203, 5253 is 1.
Highest Common Factor of 5203,5253 is 1
Step 1: Since 5253 > 5203, we apply the division lemma to 5253 and 5203, to get
5253 = 5203 x 1 + 50
Step 2: Since the reminder 5203 ≠ 0, we apply division lemma to 50 and 5203, to get
5203 = 50 x 104 + 3
Step 3: We consider the new divisor 50 and the new remainder 3, and apply the division lemma to get
50 = 3 x 16 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5203 and 5253 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(50,3) = HCF(5203,50) = HCF(5253,5203) .
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Frequently Asked Questions on HCF of 5203, 5253 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 5203, 5253?
Answer: HCF of 5203, 5253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5203, 5253 using Euclid's Algorithm?
Answer: For arbitrary numbers 5203, 5253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.