Highest Common Factor of 2926, 5363 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 2926, 5363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2926, 5363 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 2926, 5363 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 2926, 5363 is 1.
HCF(2926, 5363) = 1
HCF of 2926, 5363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2926, 5363 is 1.
Highest Common Factor of 2926,5363 is 1
Step 1: Since 5363 > 2926, we apply the division lemma to 5363 and 2926, to get
5363 = 2926 x 1 + 2437
Step 2: Since the reminder 2926 ≠ 0, we apply division lemma to 2437 and 2926, to get
2926 = 2437 x 1 + 489
Step 3: We consider the new divisor 2437 and the new remainder 489, and apply the division lemma to get
2437 = 489 x 4 + 481
We consider the new divisor 489 and the new remainder 481,and apply the division lemma to get
489 = 481 x 1 + 8
We consider the new divisor 481 and the new remainder 8,and apply the division lemma to get
481 = 8 x 60 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2926 and 5363 is 1
Notice that 1 = HCF(8,1) = HCF(481,8) = HCF(489,481) = HCF(2437,489) = HCF(2926,2437) = HCF(5363,2926) .
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Frequently Asked Questions on HCF of 2926, 5363 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 2926, 5363?
Answer: HCF of 2926, 5363 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2926, 5363 using Euclid's Algorithm?
Answer: For arbitrary numbers 2926, 5363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.