Highest Common Factor of 5906, 2750 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 5906, 2750 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5906, 2750 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 5906, 2750 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 5906, 2750 is 2.
HCF(5906, 2750) = 2
HCF of 5906, 2750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5906, 2750 is 2.
Highest Common Factor of 5906,2750 is 2
Step 1: Since 5906 > 2750, we apply the division lemma to 5906 and 2750, to get
5906 = 2750 x 2 + 406
Step 2: Since the reminder 2750 ≠ 0, we apply division lemma to 406 and 2750, to get
2750 = 406 x 6 + 314
Step 3: We consider the new divisor 406 and the new remainder 314, and apply the division lemma to get
406 = 314 x 1 + 92
We consider the new divisor 314 and the new remainder 92,and apply the division lemma to get
314 = 92 x 3 + 38
We consider the new divisor 92 and the new remainder 38,and apply the division lemma to get
92 = 38 x 2 + 16
We consider the new divisor 38 and the new remainder 16,and apply the division lemma to get
38 = 16 x 2 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 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 5906 and 2750 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(38,16) = HCF(92,38) = HCF(314,92) = HCF(406,314) = HCF(2750,406) = HCF(5906,2750) .
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Frequently Asked Questions on HCF of 5906, 2750 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 5906, 2750?
Answer: HCF of 5906, 2750 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5906, 2750 using Euclid's Algorithm?
Answer: For arbitrary numbers 5906, 2750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.