Highest Common Factor of 950, 5844 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 950, 5844 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 5844 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 950, 5844 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 950, 5844 is 2.
HCF(950, 5844) = 2
HCF of 950, 5844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 5844 is 2.
Highest Common Factor of 950,5844 is 2
Step 1: Since 5844 > 950, we apply the division lemma to 5844 and 950, to get
5844 = 950 x 6 + 144
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 144 and 950, to get
950 = 144 x 6 + 86
Step 3: We consider the new divisor 144 and the new remainder 86, and apply the division lemma to get
144 = 86 x 1 + 58
We consider the new divisor 86 and the new remainder 58,and apply the division lemma to get
86 = 58 x 1 + 28
We consider the new divisor 58 and the new remainder 28,and apply the division lemma to get
58 = 28 x 2 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 950 and 5844 is 2
Notice that 2 = HCF(28,2) = HCF(58,28) = HCF(86,58) = HCF(144,86) = HCF(950,144) = HCF(5844,950) .
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Frequently Asked Questions on HCF of 950, 5844 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 950, 5844?
Answer: HCF of 950, 5844 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 5844 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 5844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.