Highest Common Factor of 5238, 2783 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 5238, 2783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5238, 2783 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 5238, 2783 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 5238, 2783 is 1.
HCF(5238, 2783) = 1
HCF of 5238, 2783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5238, 2783 is 1.
Highest Common Factor of 5238,2783 is 1
Step 1: Since 5238 > 2783, we apply the division lemma to 5238 and 2783, to get
5238 = 2783 x 1 + 2455
Step 2: Since the reminder 2783 ≠ 0, we apply division lemma to 2455 and 2783, to get
2783 = 2455 x 1 + 328
Step 3: We consider the new divisor 2455 and the new remainder 328, and apply the division lemma to get
2455 = 328 x 7 + 159
We consider the new divisor 328 and the new remainder 159,and apply the division lemma to get
328 = 159 x 2 + 10
We consider the new divisor 159 and the new remainder 10,and apply the division lemma to get
159 = 10 x 15 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5238 and 2783 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(159,10) = HCF(328,159) = HCF(2455,328) = HCF(2783,2455) = HCF(5238,2783) .
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Frequently Asked Questions on HCF of 5238, 2783 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 5238, 2783?
Answer: HCF of 5238, 2783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5238, 2783 using Euclid's Algorithm?
Answer: For arbitrary numbers 5238, 2783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.