Highest Common Factor of 5902, 3056 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 5902, 3056 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5902, 3056 is 2 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 5902, 3056 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 5902, 3056 is 2.
HCF(5902, 3056) = 2
HCF of 5902, 3056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5902, 3056 is 2.
Highest Common Factor of 5902,3056 is 2
Step 1: Since 5902 > 3056, we apply the division lemma to 5902 and 3056, to get
5902 = 3056 x 1 + 2846
Step 2: Since the reminder 3056 ≠ 0, we apply division lemma to 2846 and 3056, to get
3056 = 2846 x 1 + 210
Step 3: We consider the new divisor 2846 and the new remainder 210, and apply the division lemma to get
2846 = 210 x 13 + 116
We consider the new divisor 210 and the new remainder 116,and apply the division lemma to get
210 = 116 x 1 + 94
We consider the new divisor 116 and the new remainder 94,and apply the division lemma to get
116 = 94 x 1 + 22
We consider the new divisor 94 and the new remainder 22,and apply the division lemma to get
94 = 22 x 4 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5902 and 3056 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(94,22) = HCF(116,94) = HCF(210,116) = HCF(2846,210) = HCF(3056,2846) = HCF(5902,3056) .
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Frequently Asked Questions on HCF of 5902, 3056 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 5902, 3056?
Answer: HCF of 5902, 3056 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5902, 3056 using Euclid's Algorithm?
Answer: For arbitrary numbers 5902, 3056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.