Highest Common Factor of 5038, 7783 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 5038, 7783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5038, 7783 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 5038, 7783 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 5038, 7783 is 1.
HCF(5038, 7783) = 1
HCF of 5038, 7783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5038, 7783 is 1.
Highest Common Factor of 5038,7783 is 1
Step 1: Since 7783 > 5038, we apply the division lemma to 7783 and 5038, to get
7783 = 5038 x 1 + 2745
Step 2: Since the reminder 5038 ≠ 0, we apply division lemma to 2745 and 5038, to get
5038 = 2745 x 1 + 2293
Step 3: We consider the new divisor 2745 and the new remainder 2293, and apply the division lemma to get
2745 = 2293 x 1 + 452
We consider the new divisor 2293 and the new remainder 452,and apply the division lemma to get
2293 = 452 x 5 + 33
We consider the new divisor 452 and the new remainder 33,and apply the division lemma to get
452 = 33 x 13 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5038 and 7783 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(452,33) = HCF(2293,452) = HCF(2745,2293) = HCF(5038,2745) = HCF(7783,5038) .
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Frequently Asked Questions on HCF of 5038, 7783 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 5038, 7783?
Answer: HCF of 5038, 7783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5038, 7783 using Euclid's Algorithm?
Answer: For arbitrary numbers 5038, 7783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.