Highest Common Factor of 3240, 5203 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 3240, 5203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3240, 5203 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 3240, 5203 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 3240, 5203 is 1.
HCF(3240, 5203) = 1
HCF of 3240, 5203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3240, 5203 is 1.
Highest Common Factor of 3240,5203 is 1
Step 1: Since 5203 > 3240, we apply the division lemma to 5203 and 3240, to get
5203 = 3240 x 1 + 1963
Step 2: Since the reminder 3240 ≠ 0, we apply division lemma to 1963 and 3240, to get
3240 = 1963 x 1 + 1277
Step 3: We consider the new divisor 1963 and the new remainder 1277, and apply the division lemma to get
1963 = 1277 x 1 + 686
We consider the new divisor 1277 and the new remainder 686,and apply the division lemma to get
1277 = 686 x 1 + 591
We consider the new divisor 686 and the new remainder 591,and apply the division lemma to get
686 = 591 x 1 + 95
We consider the new divisor 591 and the new remainder 95,and apply the division lemma to get
591 = 95 x 6 + 21
We consider the new divisor 95 and the new remainder 21,and apply the division lemma to get
95 = 21 x 4 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3240 and 5203 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(95,21) = HCF(591,95) = HCF(686,591) = HCF(1277,686) = HCF(1963,1277) = HCF(3240,1963) = HCF(5203,3240) .
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Frequently Asked Questions on HCF of 3240, 5203 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 3240, 5203?
Answer: HCF of 3240, 5203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3240, 5203 using Euclid's Algorithm?
Answer: For arbitrary numbers 3240, 5203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.