Highest Common Factor of 5303, 7209 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 5303, 7209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5303, 7209 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 5303, 7209 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 5303, 7209 is 1.
HCF(5303, 7209) = 1
HCF of 5303, 7209 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5303, 7209 is 1.
Highest Common Factor of 5303,7209 is 1
Step 1: Since 7209 > 5303, we apply the division lemma to 7209 and 5303, to get
7209 = 5303 x 1 + 1906
Step 2: Since the reminder 5303 ≠ 0, we apply division lemma to 1906 and 5303, to get
5303 = 1906 x 2 + 1491
Step 3: We consider the new divisor 1906 and the new remainder 1491, and apply the division lemma to get
1906 = 1491 x 1 + 415
We consider the new divisor 1491 and the new remainder 415,and apply the division lemma to get
1491 = 415 x 3 + 246
We consider the new divisor 415 and the new remainder 246,and apply the division lemma to get
415 = 246 x 1 + 169
We consider the new divisor 246 and the new remainder 169,and apply the division lemma to get
246 = 169 x 1 + 77
We consider the new divisor 169 and the new remainder 77,and apply the division lemma to get
169 = 77 x 2 + 15
We consider the new divisor 77 and the new remainder 15,and apply the division lemma to get
77 = 15 x 5 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 5303 and 7209 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(77,15) = HCF(169,77) = HCF(246,169) = HCF(415,246) = HCF(1491,415) = HCF(1906,1491) = HCF(5303,1906) = HCF(7209,5303) .
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Frequently Asked Questions on HCF of 5303, 7209 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 5303, 7209?
Answer: HCF of 5303, 7209 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5303, 7209 using Euclid's Algorithm?
Answer: For arbitrary numbers 5303, 7209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.