Highest Common Factor of 2303, 5782 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 2303, 5782 i.e. 49 the largest integer that leaves a remainder zero for all numbers.
HCF of 2303, 5782 is 49 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 2303, 5782 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 2303, 5782 is 49.
HCF(2303, 5782) = 49
HCF of 2303, 5782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2303, 5782 is 49.
Highest Common Factor of 2303,5782 is 49
Step 1: Since 5782 > 2303, we apply the division lemma to 5782 and 2303, to get
5782 = 2303 x 2 + 1176
Step 2: Since the reminder 2303 ≠ 0, we apply division lemma to 1176 and 2303, to get
2303 = 1176 x 1 + 1127
Step 3: We consider the new divisor 1176 and the new remainder 1127, and apply the division lemma to get
1176 = 1127 x 1 + 49
We consider the new divisor 1127 and the new remainder 49, and apply the division lemma to get
1127 = 49 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 2303 and 5782 is 49
Notice that 49 = HCF(1127,49) = HCF(1176,1127) = HCF(2303,1176) = HCF(5782,2303) .
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Frequently Asked Questions on HCF of 2303, 5782 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 2303, 5782?
Answer: HCF of 2303, 5782 is 49 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2303, 5782 using Euclid's Algorithm?
Answer: For arbitrary numbers 2303, 5782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.